102108637983744 has 528 divisors, whose sum is σ = 357130945641600. Its totient is φ = 27430538969088.

The previous prime is 102108637983721. The next prime is 102108637983757. The reversal of 102108637983744 is 447389736801201.

102108637983744 is a `hidden beast` number, since 1 + 0 + 210 + 8 + 6 + 379 + 8 + 3 + 7 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1117495692 + ... + 1117587060.

Almost surely, 2^{102108637983744} is an apocalyptic number.

102108637983744 is a gapful number since it is divisible by the number (14) 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 102108637983744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178565472820800).

102108637983744 is an abundant number, since it is smaller than the sum of its proper divisors (255022307657856).

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

102108637983744 is a wasteful number, since it uses less digits than its factorization.

102108637983744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92438 (or 92417 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 102108637983744 in words is "one hundred two trillion, one hundred eight billion, six hundred thirty-seven million, nine hundred eighty-three thousand, seven hundred forty-four".