102657434004 has 72 divisors (see below), whose sum is σ = 261659460608. Its totient is φ = 33933997440.

The previous prime is 102657433951. The next prime is 102657434053. The reversal of 102657434004 is 400434756201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 102657434004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14018664 + ... + 14025984.

Almost surely, 2^102657434004 is an apocalyptic number.

It is an amenable number.

102657434004 is an abundant number, since it is smaller than the sum of its proper divisors (159002026604).

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

102657434004 is a wasteful number, since it uses less digits than its factorization.

102657434004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10525 (or 10520 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 102657434004 in words is "one hundred two billion, six hundred fifty-seven million, four hundred thirty-four thousand, four".