102507540 has 48 divisors (see below), whose sum is σ = 288637440. Its totient is φ = 27181440.

The previous prime is 102507523. The next prime is 102507541. The reversal of 102507540 is 45705201.

It is a self number, because there is not a number n which added to its sum of digits gives 102507540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102507541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6141 + ... + 15579.

It is an arithmetic number, because the mean of its divisors is an integer number (6013280).

Almost surely, 2^102507540 is an apocalyptic number.

102507540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102507540 is an abundant number, since it is smaller than the sum of its proper divisors (186129900).

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

102507540 is a wasteful number, since it uses less digits than its factorization.

102507540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9632 (or 9630 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 102507540 is about 10124.6007328684. The cubic root of 102507540 is about 468.0065562673.

The spelling of 102507540 in words is "one hundred two million, five hundred seven thousand, five hundred forty".