106516237627120 has 40 divisors (see below), whose sum is σ = 256189916367360. Its totient is φ = 41137305565440.

The previous prime is 106516237627069. The next prime is 106516237627127. The reversal of 106516237627120 is 21726732615601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106516237627120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106516237627127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22956083376 + ... + 22956088015.

It is an arithmetic number, because the mean of its divisors is an integer number (6404747909184).

Almost surely, 2^{106516237627120} is an apocalyptic number.

106516237627120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106516237627120 is an abundant number, since it is smaller than the sum of its proper divisors (149673678740240).

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

106516237627120 is a wasteful number, since it uses less digits than its factorization.

106516237627120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45912171433 (or 45912171427 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

The spelling of 106516237627120 in words is "one hundred six trillion, five hundred sixteen billion, two hundred thirty-seven million, six hundred twenty-seven thousand, one hundred twenty".