103182742656 has 96 divisors (see below), whose sum is σ = 339336129600. Its totient is φ = 29480781312.

The previous prime is 103182742633. The next prime is 103182742657. The reversal of 103182742656 is 656247281301.

103182742656 is a `hidden beast` number, since 1 + 0 + 318 + 2 + 74 + 265 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (103182742657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6389676 + ... + 6405803.

It is an arithmetic number, because the mean of its divisors is an integer number (3534751350).

Almost surely, 2^103182742656 is an apocalyptic number.

103182742656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103182742656 is an abundant number, since it is smaller than the sum of its proper divisors (236153386944).

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

103182742656 is a wasteful number, since it uses less digits than its factorization.

103182742656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12795506 (or 12795491 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 103182742656 in words is "one hundred three billion, one hundred eighty-two million, seven hundred forty-two thousand, six hundred fifty-six".