106857214403136 has 56 divisors (see below), whose sum is σ = 282820030325280. Its totient is φ = 35607272973312.

The previous prime is 106857214403129. The next prime is 106857214403179. The reversal of 106857214403136 is 631304412758601.

106857214403136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106857214403136² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91594581 + ... + 92753876.

It is an arithmetic number, because the mean of its divisors is an integer number (5050357684380).

Almost surely, 2^{106857214403136} is an apocalyptic number.

106857214403136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106857214403136 is an abundant number, since it is smaller than the sum of its proper divisors (175962815922144).

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

106857214403136 is a wasteful number, since it uses less digits than its factorization.

106857214403136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184351491 (or 184351481 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 106857214403136 in words is "one hundred six trillion, eight hundred fifty-seven billion, two hundred fourteen million, four hundred three thousand, one hundred thirty-six".