102802680 has 192 divisors, whose sum is σ = 355212000. Its totient is φ = 25740288.

The previous prime is 102802657. The next prime is 102802681. The reversal of 102802680 is 86208201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102802681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448806 + ... + 449034.

Almost surely, 2^102802680 is an apocalyptic number.

102802680 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 102802680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177606000).

102802680 is an abundant number, since it is smaller than the sum of its proper divisors (252409320).

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

102802680 is a wasteful number, since it uses less digits than its factorization.

102802680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 102802680 is about 10139.1656461466. The cubic root of 102802680 is about 468.4552878143.

The spelling of 102802680 in words is "one hundred two million, eight hundred two thousand, six hundred eighty".