102507240 has 128 divisors (see below), whose sum is σ = 340070400. Its totient is φ = 24510720.

The previous prime is 102507239. The next prime is 102507259. The reversal of 102507240 is 42705201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103789 + ... + 104771.

It is an arithmetic number, because the mean of its divisors is an integer number (2656800).

Almost surely, 2^102507240 is an apocalyptic number.

102507240 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 102507240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170035200).

102507240 is an abundant number, since it is smaller than the sum of its proper divisors (237563160).

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

102507240 is a wasteful number, since it uses less digits than its factorization.

102507240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 102507240 is about 10124.5859174586. The cubic root of 102507240 is about 468.0060997086.

The spelling of 102507240 in words is "one hundred two million, five hundred seven thousand, two hundred forty".