102580180 has 24 divisors (see below), whose sum is σ = 215689320. Its totient is φ = 40980480.

The previous prime is 102580141. The next prime is 102580187. The reversal of 102580180 is 81085201.

It can be written as a sum of positive squares in 4 ways, for example, as 1336336 + 101243844 = 1156^2 + 10062^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102580187) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15820 + ... + 21340.

It is an arithmetic number, because the mean of its divisors is an integer number (8987055).

Almost surely, 2^102580180 is an apocalyptic number.

102580180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102580180 is an abundant number, since it is smaller than the sum of its proper divisors (113109140).

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

102580180 is a wasteful number, since it uses less digits than its factorization.

102580180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6459 (or 6457 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 25.

The square root of 102580180 is about 10128.1873995301. The cubic root of 102580180 is about 468.1170781183.

The spelling of 102580180 in words is "one hundred two million, five hundred eighty thousand, one hundred eighty".