102312400 has 120 divisors (see below), whose sum is σ = 261761024. Its totient is φ = 38361600.

The previous prime is 102312389. The next prime is 102312401. The reversal of 102312400 is 4213201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102312401) by changing a digit.

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, 458689 + ... + 458911.

Almost surely, 2^102312400 is an apocalyptic number.

102312400 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 102312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130880512).

102312400 is an abundant number, since it is smaller than the sum of its proper divisors (159448624).

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

102312400 is a wasteful number, since it uses less digits than its factorization.

102312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 102312400 is about 10114.9592188995. The cubic root of 102312400 is about 467.7093917444.

Adding to 102312400 its reverse (4213201), we get a palindrome (106525601).

The spelling of 102312400 in words is "one hundred two million, three hundred twelve thousand, four hundred".