106915680 has 96 divisors (see below), whose sum is σ = 374220000. Its totient is φ = 28509696.

The previous prime is 106915667. The next prime is 106915691. The reversal of 106915680 is 86519601.

106915680 is a `hidden beast` number, since 1 + 0 + 6 + 91 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106915680² = 22861925259724800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8055 + ... + 16694.

It is an arithmetic number, because the mean of its divisors is an integer number (3898125).

Almost surely, 2^106915680 is an apocalyptic number.

106915680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106915680 is an abundant number, since it is smaller than the sum of its proper divisors (267304320).

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

106915680 is a wasteful number, since it uses less digits than its factorization.

106915680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24773 (or 24759 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 106915680 is about 10340.0038684712. The cubic root of 106915680 is about 474.6212012310.

The spelling of 106915680 in words is "one hundred six million, nine hundred fifteen thousand, six hundred eighty".