106968120 has 64 divisors (see below), whose sum is σ = 366750720. Its totient is φ = 24449664.

The previous prime is 106968079. The next prime is 106968137. The reversal of 106968120 is 21869601.

It is a super-2 number, since 2×106968120² = 22884357392668800, which contains 22 as substring.

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, 62832 + ... + 64511.

It is an arithmetic number, because the mean of its divisors is an integer number (5730480).

Almost surely, 2^106968120 is an apocalyptic number.

106968120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106968120 is an abundant number, since it is smaller than the sum of its proper divisors (259782600).

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

106968120 is a wasteful number, since it uses less digits than its factorization.

106968120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127364 (or 127360 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 106968120 is about 10342.5393400267. The cubic root of 106968120 is about 474.6987859460.

The spelling of 106968120 in words is "one hundred six million, nine hundred sixty-eight thousand, one hundred twenty".