102809080 has 64 divisors (see below), whose sum is σ = 263347200. Its totient is φ = 35756160.

The previous prime is 102809071. The next prime is 102809101. The reversal of 102809080 is 80908201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5041 + ... + 15199.

It is an arithmetic number, because the mean of its divisors is an integer number (4114800).

Almost surely, 2^102809080 is an apocalyptic number.

102809080 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 102809080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131673600).

102809080 is an abundant number, since it is smaller than the sum of its proper divisors (160538120).

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

102809080 is a wasteful number, since it uses less digits than its factorization.

102809080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10204 (or 10200 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 102809080 is about 10139.4812490581. The cubic root of 102809080 is about 468.4650088696.

The spelling of 102809080 in words is "one hundred two million, eight hundred nine thousand, eighty".