102610080 has 72 divisors (see below), whose sum is σ = 350161812. Its totient is φ = 27362304.

The previous prime is 102610063. The next prime is 102610121. The reversal of 102610080 is 80016201.

It can be written as a sum of positive squares in 2 ways, for example, as 101364624 + 1245456 = 10068^2 + 1116^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34189 + ... + 37068.

Almost surely, 2^102610080 is an apocalyptic number.

102610080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102610080 is an abundant number, since it is smaller than the sum of its proper divisors (247551732).

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

102610080 is a wasteful number, since it uses less digits than its factorization.

102610080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71278 (or 71267 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 102610080 is about 10129.6633705173. The cubic root of 102610080 is about 468.1625558475.

Adding to 102610080 its reverse (80016201), we get a palindrome (182626281).

The spelling of 102610080 in words is "one hundred two million, six hundred ten thousand, eighty".