100505160 has 96 divisors (see below), whose sum is σ = 373314240. Its totient is φ = 22972032.

The previous prime is 100505113. The next prime is 100505161. The reversal of 100505160 is 61505001.

100505160 is a `hidden beast` number, since 1 + 0 + 0 + 505 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100505161) 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, 17422 + ... + 22461.

It is an arithmetic number, because the mean of its divisors is an integer number (3888690).

Almost surely, 2^100505160 is an apocalyptic number.

100505160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100505160 is an abundant number, since it is smaller than the sum of its proper divisors (272809080).

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

100505160 is a wasteful number, since it uses less digits than its factorization.

100505160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39907 (or 39900 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 100505160 is about 10025.2261819871. The cubic root of 100505160 is about 464.9391526348.

The spelling of 100505160 in words is "one hundred million, five hundred five thousand, one hundred sixty".