102132400 has 60 divisors (see below), whose sum is σ = 246461904. Its totient is φ = 40672000.

The previous prime is 102132389. The next prime is 102132409. The reversal of 102132400 is 4231201.

It is not an unprimeable number, because it can be changed into a prime (102132409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123990 + ... + 124810.

Almost surely, 2^102132400 is an apocalyptic number.

102132400 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 102132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123230952).

102132400 is an abundant number, since it is smaller than the sum of its proper divisors (144329504).

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

102132400 is a wasteful number, since it uses less digits than its factorization.

102132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1139 counting only the distinct ones).

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

The square root of 102132400 is about 10106.0575893867. The cubic root of 102132400 is about 467.4349476243.

Adding to 102132400 its reverse (4231201), we get a palindrome (106363601).

The spelling of 102132400 in words is "one hundred two million, one hundred thirty-two thousand, four hundred".