100160964 has 36 divisors (see below), whose sum is σ = 256659676. Its totient is φ = 32928768.

The previous prime is 100160953. The next prime is 100160987. The reversal of 100160964 is 469061001.

It can be written as a sum of positive squares in 2 ways, for example, as 57153600 + 43007364 = 7560^2 + 6558^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16429 + ... + 21684.

Almost surely, 2^100160964 is an apocalyptic number.

It is an amenable number.

100160964 is an abundant number, since it is smaller than the sum of its proper divisors (156498712).

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

100160964 is a wasteful number, since it uses less digits than its factorization.

100160964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38196 (or 38191 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 100160964 is about 10008.0449639278. The cubic root of 100160964 is about 464.4077927592.

It can be divided in two parts, 100160 and 964, that added together give a square (101124 = 318²).

The spelling of 100160964 in words is "one hundred million, one hundred sixty thousand, nine hundred sixty-four".