102504100 has 72 divisors (see below), whose sum is σ = 237984768. Its totient is φ = 38227200.

The previous prime is 102504091. The next prime is 102504119. The reversal of 102504100 is 1405201.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 93757 + ... + 94843.

It is an arithmetic number, because the mean of its divisors is an integer number (3305344).

Almost surely, 2^102504100 is an apocalyptic number.

102504100 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 102504100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118992384).

102504100 is an abundant number, since it is smaller than the sum of its proper divisors (135480668).

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

102504100 is a wasteful number, since it uses less digits than its factorization.

102504100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 102504100 is about 10124.4308482008. The cubic root of 102504100 is about 468.0013210083.

Adding to 102504100 its reverse (1405201), we get a palindrome (103909301).

The spelling of 102504100 in words is "one hundred two million, five hundred four thousand, one hundred".