102651680 has 48 divisors (see below), whose sum is σ = 255286080. Its totient is φ = 38898432.

The previous prime is 102651631. The next prime is 102651683. The reversal of 102651680 is 86156201.

It is a happy number.

It is a super-4 number, since 4×102651680⁴ (a number of 33 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (102651683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13844 + ... + 19923.

It is an arithmetic number, because the mean of its divisors is an integer number (5318460).

Almost surely, 2^102651680 is an apocalyptic number.

102651680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102651680 is an abundant number, since it is smaller than the sum of its proper divisors (152634400).

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

102651680 is a wasteful number, since it uses less digits than its factorization.

102651680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33801 (or 33793 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 102651680 is about 10131.7165376850. The cubic root of 102651680 is about 468.2258145157.

The spelling of 102651680 in words is "one hundred two million, six hundred fifty-one thousand, six hundred eighty".