102504400 has 60 divisors (see below), whose sum is σ = 250363564. Its totient is φ = 40320000.

The previous prime is 102504397. The next prime is 102504421. The reversal of 102504400 is 4405201.

It can be written as a sum of positive squares in 6 ways, for example, as 44195904 + 58308496 = 6648^2 + 7636^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 22300 + ... + 26500.

Almost surely, 2^102504400 is an apocalyptic number.

102504400 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 102504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125181782).

102504400 is an abundant number, since it is smaller than the sum of its proper divisors (147859164).

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

102504400 is a wasteful number, since it uses less digits than its factorization.

102504400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4280 (or 4269 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 102504400 is about 10124.4456638376. The cubic root of 102504400 is about 468.0017775762.

Adding to 102504400 its reverse (4405201), we get a palindrome (106909601).

The spelling of 102504400 in words is "one hundred two million, five hundred four thousand, four hundred".