102366540 has 72 divisors (see below), whose sum is σ = 315636048. Its totient is φ = 26847360.

The previous prime is 102366533. The next prime is 102366559. The reversal of 102366540 is 45663201.

102366540 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 6 + 654 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6319 + ... + 15641.

It is an arithmetic number, because the mean of its divisors is an integer number (4383834).

Almost surely, 2^102366540 is an apocalyptic number.

102366540 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 102366540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157818024).

102366540 is an abundant number, since it is smaller than the sum of its proper divisors (213269508).

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

102366540 is a wasteful number, since it uses less digits than its factorization.

102366540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9399 (or 9394 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 102366540 is about 10117.6350991721. The cubic root of 102366540 is about 467.7918754620.

The spelling of 102366540 in words is "one hundred two million, three hundred sixty-six thousand, five hundred forty".