102970656800 has 72 divisors (see below), whose sum is σ = 274229604432. Its totient is φ = 37443872000.

The previous prime is 102970656799. The next prime is 102970656847. The reversal of 102970656800 is 8656079201.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5841806 + ... + 5859405.

It is an arithmetic number, because the mean of its divisors is an integer number (3808744506).

Almost surely, 2^102970656800 is an apocalyptic number.

102970656800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102970656800 is an abundant number, since it is smaller than the sum of its proper divisors (171258947632).

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

102970656800 is a wasteful number, since it uses less digits than its factorization.

102970656800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11701242 (or 11701229 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 102970656800 in words is "one hundred two billion, nine hundred seventy million, six hundred fifty-six thousand, eight hundred".