102649680 has 400 divisors, whose sum is σ = 426353664. Its totient is φ = 22394880.

The previous prime is 102649639. The next prime is 102649681. The reversal of 102649680 is 86946201.

102649680 is a `hidden beast` number, since 1 + 0 + 2 + 649 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102649681) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1406124 + ... + 1406196.

Almost surely, 2^102649680 is an apocalyptic number.

102649680 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 102649680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213176832).

102649680 is an abundant number, since it is smaller than the sum of its proper divisors (323703984).

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

102649680 is a wasteful number, since it uses less digits than its factorization.

102649680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 102649680 is about 10131.6178372459. The cubic root of 102649680 is about 468.2227736247. Note that the first 3 decimals are identical.

The spelling of 102649680 in words is "one hundred two million, six hundred forty-nine thousand, six hundred eighty".