102479445160704 has 144 divisors (see below), whose sum is σ = 320876204271840. Its totient is φ = 32150414131200.

The previous prime is 102479445160693. The next prime is 102479445160727. The reversal of 102479445160704 is 407061544974201.

It is a happy number.

102479445160704 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 79 + 445 + 1 + 60 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 15 ways as a sum of consecutive naturals, for example, 435950397 + ... + 436185404.

It is an arithmetic number, because the mean of its divisors is an integer number (2228306974110).

Almost surely, 2^{102479445160704} is an apocalyptic number.

It is an amenable number.

102479445160704 is an abundant number, since it is smaller than the sum of its proper divisors (218396759111136).

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

102479445160704 is an equidigital number, since it uses as much as digits as its factorization.

102479445160704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872135843 (or 872135823 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 102479445160704 in words is "one hundred two trillion, four hundred seventy-nine billion, four hundred forty-five million, one hundred sixty thousand, seven hundred four".