106831462786560 has 120 divisors (see below), whose sum is σ = 369987402058560. Its totient is φ = 28488390070272.

The previous prime is 106831462786541. The next prime is 106831462786583. The reversal of 106831462786560 is 65687264138601.

106831462786560 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 3 + 1 + 4 + 62 + 7 + 8 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×106831462786560² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2318368080 + ... + 2318414159.

It is an arithmetic number, because the mean of its divisors is an integer number (3083228350488).

Almost surely, 2^{106831462786560} is an apocalyptic number.

106831462786560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106831462786560 is an abundant number, since it is smaller than the sum of its proper divisors (263155939272000).

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

106831462786560 is an equidigital number, since it uses as much as digits as its factorization.

106831462786560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4636782268 (or 4636782249 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 106831462786560 in words is "one hundred six trillion, eight hundred thirty-one billion, four hundred sixty-two million, seven hundred eighty-six thousand, five hundred sixty".