102006525614304 has 144 divisors (see below), whose sum is σ = 288567472233600. Its totient is φ = 31463456064768.

The previous prime is 102006525614269. The next prime is 102006525614359. The reversal of 102006525614304 is 403416525600201.

102006525614304 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11750364 + ... + 18495515.

It is an arithmetic number, because the mean of its divisors is an integer number (2003940779400).

Almost surely, 2^{102006525614304} is an apocalyptic number.

It is an amenable number.

102006525614304 is an abundant number, since it is smaller than the sum of its proper divisors (186560946619296).

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

102006525614304 is a wasteful number, since it uses less digits than its factorization.

102006525614304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30245997 (or 30245946 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 102006525614304 in words is "one hundred two trillion, six billion, five hundred twenty-five million, six hundred fourteen thousand, three hundred four".