102379201057 has 32 divisors (see below), whose sum is σ = 126138387200. Its totient is φ = 81150087168.

The previous prime is 102379201049. The next prime is 102379201081. The reversal of 102379201057 is 750102973201.

It is a cyclic number.

It is not a de Polignac number, because 102379201057 - 2³ = 102379201049 is a prime.

It is the 319968-th Hogben number.

It is not an unprimeable number, because it can be changed into a prime (102379201087) by changing a digit.

It is a nontrivial repunit in base 319967.

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 31 ways as a sum of consecutive naturals, for example, 887419 + ... + 996127.

It is an arithmetic number, because the mean of its divisors is an integer number (3941824600).

Almost surely, 2^102379201057 is an apocalyptic number.

It is an amenable number.

102379201057 is a deficient number, since it is larger than the sum of its proper divisors (23759186143).

102379201057 is a wasteful number, since it uses less digits than its factorization.

102379201057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108905.

The product of its (nonzero) digits is 26460, while the sum is 37.

The spelling of 102379201057 in words is "one hundred two billion, three hundred seventy-nine million, two hundred one thousand, fifty-seven".