102507840 has 84 divisors (see below), whose sum is σ = 352594164. Its totient is φ = 27334656.

The previous prime is 102507827. The next prime is 102507857. The reversal of 102507840 is 48705201.

It can be written as a sum of positive squares in 2 ways, for example, as 18455616 + 84052224 = 4296^2 + 9168^2 .

It is a super-2 number, since 2×102507840² = 21015714522931200, which contains 22 as substring.

It is a congruent number.

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, 14917 + ... + 20676.

Almost surely, 2^102507840 is an apocalyptic number.

102507840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102507840 is an abundant number, since it is smaller than the sum of its proper divisors (250086324).

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

102507840 is a wasteful number, since it uses less digits than its factorization.

102507840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35616 (or 35603 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 102507840 is about 10124.6155482566. The cubic root of 102507840 is about 468.0070128250.

The spelling of 102507840 in words is "one hundred two million, five hundred seven thousand, eight hundred forty".