102631680 has 216 divisors, whose sum is σ = 363504960. Its totient is φ = 26726400.

The previous prime is 102631679. The next prime is 102631693. The reversal of 102631680 is 86136201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 679605 + ... + 679755.

Almost surely, 2^102631680 is an apocalyptic number.

102631680 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 102631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181752480).

102631680 is an abundant number, since it is smaller than the sum of its proper divisors (260873280).

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

102631680 is a wasteful number, since it uses less digits than its factorization.

102631680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 102631680 is about 10130.7294900219. The cubic root of 102631680 is about 468.1954038280.

Adding to 102631680 its reverse (86136201), we get a palindrome (188767881).

The spelling of 102631680 in words is "one hundred two million, six hundred thirty-one thousand, six hundred eighty".