100161264 has 40 divisors (see below), whose sum is σ = 295715200. Its totient is φ = 28617408.

The previous prime is 100161241. The next prime is 100161289. The reversal of 100161264 is 462161001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 100161264.

It is a congruent number.

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, 148714 + ... + 149385.

It is an arithmetic number, because the mean of its divisors is an integer number (7392880).

Almost surely, 2^100161264 is an apocalyptic number.

100161264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100161264 is an abundant number, since it is smaller than the sum of its proper divisors (195553936).

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

100161264 is a wasteful number, since it uses less digits than its factorization.

100161264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298117 (or 298111 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 100161264 is about 10008.0599518588. The cubic root of 100161264 is about 464.4082564202.

The spelling of 100161264 in words is "one hundred million, one hundred sixty-one thousand, two hundred sixty-four".