100165560 has 64 divisors (see below), whose sum is σ = 327818880. Its totient is φ = 24282240.

The previous prime is 100165523. The next prime is 100165567. The reversal of 100165560 is 65561001.

It is a super-2 number, since 2×100165560² = 20066278820227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 100165560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100165567) 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, 36622 + ... + 39261.

It is an arithmetic number, because the mean of its divisors is an integer number (5122170).

Almost surely, 2^100165560 is an apocalyptic number.

100165560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100165560 is an abundant number, since it is smaller than the sum of its proper divisors (227653320).

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

100165560 is a wasteful number, since it uses less digits than its factorization.

100165560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75908 (or 75904 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 100165560 is about 10008.2745765691. The cubic root of 100165560 is about 464.4148959442.

It can be divided in two parts, 10016 and 5560, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 100165560 in words is "one hundred million, one hundred sixty-five thousand, five hundred sixty".