102592080 has 120 divisors (see below), whose sum is σ = 348627240. Its totient is φ = 27033600.

The previous prime is 102592073. The next prime is 102592103. The reversal of 102592080 is 80295201.

It can be written as a sum of positive squares in 4 ways, for example, as 25644096 + 76947984 = 5064^2 + 8772^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 63280 + ... + 64880.

It is an arithmetic number, because the mean of its divisors is an integer number (2905227).

Almost surely, 2^102592080 is an apocalyptic number.

102592080 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 102592080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174313620).

102592080 is an abundant number, since it is smaller than the sum of its proper divisors (246035160).

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

102592080 is a wasteful number, since it uses less digits than its factorization.

102592080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1700 counting only the distinct ones).

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

The square root of 102592080 is about 10128.7748518762. The cubic root of 102592080 is about 468.1351790089.

The spelling of 102592080 in words is "one hundred two million, five hundred ninety-two thousand, eighty".