102259080 has 576 divisors, whose sum is σ = 460961280. Its totient is φ = 19353600.

The previous prime is 102259067. The next prime is 102259139. The reversal of 102259080 is 80952201.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3298665 + ... + 3298695.

It is an arithmetic number, because the mean of its divisors is an integer number (800280).

Almost surely, 2^102259080 is an apocalyptic number.

102259080 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 102259080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230480640).

102259080 is an abundant number, since it is smaller than the sum of its proper divisors (358702200).

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

102259080 is a wasteful number, since it uses less digits than its factorization.

102259080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 102259080 is about 10112.3231752155. The cubic root of 102259080 is about 467.6281288731.

The spelling of 102259080 in words is "one hundred two million, two hundred fifty-nine thousand, eighty".