100268160 has 64 divisors (see below), whose sum is σ = 319610880. Its totient is φ = 26737664.

The previous prime is 100268123. The next prime is 100268173. The reversal of 100268160 is 61862001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 100268160.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24192 + ... + 28031.

It is an arithmetic number, because the mean of its divisors is an integer number (4993920).

Almost surely, 2^100268160 is an apocalyptic number.

100268160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100268160 is an abundant number, since it is smaller than the sum of its proper divisors (219342720).

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

100268160 is an equidigital number, since it uses as much as digits as its factorization.

100268160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52245 (or 52233 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 100268160 is about 10013.3990233087. The cubic root of 100268160 is about 464.5734092048.

The spelling of 100268160 in words is "one hundred million, two hundred sixty-eight thousand, one hundred sixty".