102115418294736 has 540 divisors, whose sum is σ = 375284759558436. Its totient is φ = 25806626334720.

The previous prime is 102115418294731. The next prime is 102115418294801. The reversal of 102115418294736 is 637492814511201.

102115418294736 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 1 + 541 + 8 + 2 + 94 + 7 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69232717184400 + 32882701110336 = 8320620^2 + 5734344^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102115418294731) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 29973436 + ... + 33205988.

It is a 1-persistent number, because it is pandigital, but 2⋅102115418294736 = 204230836589472 is not.

Almost surely, 2^{102115418294736} is an apocalyptic number.

102115418294736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102115418294736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187642379779218).

102115418294736 is an abundant number, since it is smaller than the sum of its proper divisors (273169341263700).

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

102115418294736 is a wasteful number, since it uses less digits than its factorization.

102115418294736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232640 (or 3232613 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 102115418294736 in words is "one hundred two trillion, one hundred fifteen billion, four hundred eighteen million, two hundred ninety-four thousand, seven hundred thirty-six".