102479434456245 has 256 divisors, whose sum is σ = 209738173685760. Its totient is φ = 41841311508480.

The previous prime is 102479434456241. The next prime is 102479434456249. The reversal of 102479434456245 is 542654434974201.

It is an interprime number because it is at equal distance from previous prime (102479434456241) and next prime (102479434456249).

It is not a de Polignac number, because 102479434456245 - 2² = 102479434456241 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102479434456241) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19434746929 + ... + 19434752201.

It is an arithmetic number, because the mean of its divisors is an integer number (819289740960).

Almost surely, 2^{102479434456245} is an apocalyptic number.

102479434456245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102479434456245 is an abundant number, since it is smaller than the sum of its proper divisors (107258739229515).

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

102479434456245 is a wasteful number, since it uses less digits than its factorization.

102479434456245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7737 (or 7715 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 60.

The spelling of 102479434456245 in words is "one hundred two trillion, four hundred seventy-nine billion, four hundred thirty-four million, four hundred fifty-six thousand, two hundred forty-five".