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106701880 = 23514917903
BaseRepresentation
bin1100101110000…
…10010000111000
321102210000110111
412113002100320
5204303430010
614330554104
72433644125
oct627022070
9242700414
10106701880
115525977a
122b898934
131914c10c
141025774c
15957a58a
hex65c2438

106701880 has 32 divisors (see below), whose sum is σ = 241704000. Its totient is φ = 42391936.

The previous prime is 106701869. The next prime is 106701887. The reversal of 106701880 is 88107601.

It is a super-2 number, since 2×1067018802 = 22770582391068800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106701887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2992 + ... + 14911.

It is an arithmetic number, because the mean of its divisors is an integer number (7553250).

Almost surely, 2106701880 is an apocalyptic number.

106701880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106701880 is an abundant number, since it is smaller than the sum of its proper divisors (135002120).

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

106701880 is a wasteful number, since it uses less digits than its factorization.

106701880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18063 (or 18059 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 31.

The square root of 106701880 is about 10329.6602073834. The cubic root of 106701880 is about 474.3046223859.

The spelling of 106701880 in words is "one hundred six million, seven hundred one thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 149 298 596 745 1192 1490 2980 5960 17903 35806 71612 89515 143224 179030 358060 716120 2667547 5335094 10670188 13337735 21340376 26675470 53350940 106701880