102716640 has 384 divisors, whose sum is σ = 406425600. Its totient is φ = 24053760.

The previous prime is 102716639. The next prime is 102716651. The reversal of 102716640 is 46617201.

102716640 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 16 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1740931 + ... + 1740989.

It is an arithmetic number, because the mean of its divisors is an integer number (1058400).

Almost surely, 2^102716640 is an apocalyptic number.

102716640 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 102716640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203212800).

102716640 is an abundant number, since it is smaller than the sum of its proper divisors (303708960).

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

102716640 is a wasteful number, since it uses less digits than its factorization.

102716640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 102716640 is about 10134.9218053224. The cubic root of 102716640 is about 468.3245611874.

The spelling of 102716640 in words is "one hundred two million, seven hundred sixteen thousand, six hundred forty".