100967160 has 64 divisors (see below), whose sum is σ = 346176000. Its totient is φ = 23078016.

The previous prime is 100967149. The next prime is 100967179. The reversal of 100967160 is 61769001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59260 + ... + 60939.

It is an arithmetic number, because the mean of its divisors is an integer number (5409000).

Almost surely, 2^100967160 is an apocalyptic number.

100967160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100967160 is an abundant number, since it is smaller than the sum of its proper divisors (245208840).

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

100967160 is a wasteful number, since it uses less digits than its factorization.

100967160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120220 (or 120216 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 100967160 is about 10048.2416372219. The cubic root of 100967160 is about 465.6504713180.

The spelling of 100967160 in words is "one hundred million, nine hundred sixty-seven thousand, one hundred sixty".