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106002708 = 22371916607
BaseRepresentation
bin1100101000101…
…11100100010100
321101110111101020
412110113210110
5204114041313
614304001140
72425002540
oct624274424
9241414336
10106002708
1154921449
122b6001b0
1318c65ac6
1410114a20
15948d323
hex6517914

106002708 has 48 divisors (see below), whose sum is σ = 284196864. Its totient is φ = 30123360.

The previous prime is 106002707. The next prime is 106002713. The reversal of 106002708 is 807200601.

It is a super-2 number, since 2×1060027082 = 22473148206666528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106002707) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12741 + ... + 19347.

It is an arithmetic number, because the mean of its divisors is an integer number (5920768).

Almost surely, 2106002708 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106002708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142098432).

106002708 is an abundant number, since it is smaller than the sum of its proper divisors (178194156).

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

106002708 is a wasteful number, since it uses less digits than its factorization.

106002708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6812 (or 6810 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 106002708 is about 10295.7616522528. The cubic root of 106002708 is about 473.2663792532.

The spelling of 106002708 in words is "one hundred six million, two thousand, seven hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 191 382 573 764 1146 1337 2292 2674 4011 5348 6607 8022 13214 16044 19821 26428 39642 46249 79284 92498 138747 184996 277494 554988 1261937 2523874 3785811 5047748 7571622 8833559 15143244 17667118 26500677 35334236 53001354 106002708