102496680 has 288 divisors, whose sum is σ = 396494280. Its totient is φ = 22809600.

The previous prime is 102496663. The next prime is 102496769. The reversal of 102496680 is 86694201.

102496680 is a `hidden beast` number, since 102 + 496 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30008484 + 72488196 = 5478^2 + 8514^2 .

It is a super-2 number, since 2×102496680² = 21011138822044800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 566190 + ... + 566370.

Almost surely, 2^102496680 is an apocalyptic number.

102496680 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 102496680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198247140).

102496680 is an abundant number, since it is smaller than the sum of its proper divisors (293997600).

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

102496680 is a wasteful number, since it uses less digits than its factorization.

102496680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 215 counting only the distinct ones).

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

The square root of 102496680 is about 10124.0644012175. The cubic root of 102496680 is about 467.9900282776.

The spelling of 102496680 in words is "one hundred two million, four hundred ninety-six thousand, six hundred eighty".