102634383415680 has 896 divisors, whose sum is σ = 376048521216000. Its totient is φ = 26761956249600.

The previous prime is 102634383415657. The next prime is 102634383415691. The reversal of 102634383415680 is 86514383436201.

102634383415680 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 3 + 4 + 38 + 3 + 41 + 568 + 0 = 666.

It is a super-3 number, since 3×102634383415680³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 42782151121 + ... + 42782153519.

Almost surely, 2^{102634383415680} is an apocalyptic number.

102634383415680 is a gapful number since it is divisible by the number (10) 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 102634383415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188024260608000).

102634383415680 is an abundant number, since it is smaller than the sum of its proper divisors (273414137800320).

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

102634383415680 is an equidigital number, since it uses as much as digits as its factorization.

102634383415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4434 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 102634383415680 in words is "one hundred two trillion, six hundred thirty-four billion, three hundred eighty-three million, four hundred fifteen thousand, six hundred eighty".