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106700000 = 25551197
BaseRepresentation
bin1100101110000…
…01110011100000
321102202220212212
412113001303200
5204303400000
614330541252
72433635501
oct627016340
9242686785
10106700000
1155258320
122b897828
131914b2c4
1410256ba8
159579c35
hex65c1ce0

106700000 has 144 divisors (see below), whose sum is σ = 289387728. Its totient is φ = 38400000.

The previous prime is 106699997. The next prime is 106700003. The reversal of 106700000 is 7601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106699997) and next prime (106700003).

It is a super-2 number, since 2×1067000002 = 22769780000000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106700003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1099952 + ... + 1100048.

It is an arithmetic number, because the mean of its divisors is an integer number (2009637).

Almost surely, 2106700000 is an apocalyptic number.

106700000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144693864).

106700000 is an abundant number, since it is smaller than the sum of its proper divisors (182687728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106700000 is an frugal number, since it uses more digits than its factorization.

106700000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 106700000 is about 10329.5692068934. The cubic root of 106700000 is about 474.3018367495.

Adding to 106700000 its reverse (7601), we get a palindrome (106707601).

The spelling of 106700000 in words is "one hundred six million, seven hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 97 100 110 125 160 176 194 200 220 250 275 352 388 400 440 485 500 550 625 776 800 880 970 1000 1067 1100 1250 1375 1552 1760 1940 2000 2134 2200 2425 2500 2750 3104 3125 3880 4000 4268 4400 4850 5000 5335 5500 6250 6875 7760 8536 8800 9700 10000 10670 11000 12125 12500 13750 15520 17072 19400 20000 21340 22000 24250 25000 26675 27500 34144 34375 38800 42680 44000 48500 50000 53350 55000 60625 68750 77600 85360 97000 100000 106700 110000 121250 133375 137500 170720 194000 213400 220000 242500 266750 275000 303125 388000 426800 485000 533500 550000 606250 666875 853600 970000 1067000 1100000 1212500 1333750 1940000 2134000 2425000 2667500 3334375 4268000 4850000 5335000 6668750 9700000 10670000 13337500 21340000 26675000 53350000 106700000