107312136808590 has 48 divisors (see below), whose sum is σ = 318870349375968. Its totient is φ = 24528488413248.

The previous prime is 107312136808567. The next prime is 107312136808631. The reversal of 107312136808590 is 95808631213701.

107312136808590 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 12 + 1 + 36 + 8 + 0 + 8 + 590 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85168361917 + ... + 85168363176.

It is an arithmetic number, because the mean of its divisors is an integer number (6643132278666).

Almost surely, 2^{107312136808590} is an apocalyptic number.

107312136808590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107312136808590 is an abundant number, since it is smaller than the sum of its proper divisors (211558212567378).

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

107312136808590 is a wasteful number, since it uses less digits than its factorization.

107312136808590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170336725113 (or 170336725110 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 107312136808590 in words is "one hundred seven trillion, three hundred twelve billion, one hundred thirty-six million, eight hundred eight thousand, five hundred ninety".