102632400 has 480 divisors, whose sum is σ = 426222720. Its totient is φ = 23224320.

The previous prime is 102632293. The next prime is 102632401. The reversal of 102632400 is 4236201.

It is a happy number.

102632400 is a `hidden beast` number, since 1 + 0 + 263 + 2 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102632401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2386779 + ... + 2386821.

It is an arithmetic number, because the mean of its divisors is an integer number (887964).

Almost surely, 2^102632400 is an apocalyptic number.

102632400 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 102632400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213111360).

102632400 is an abundant number, since it is smaller than the sum of its proper divisors (323590320).

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

102632400 is a wasteful number, since it uses less digits than its factorization.

102632400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 102632400 is about 10130.7650254065. The cubic root of 102632400 is about 468.1964986813.

Adding to 102632400 its reverse (4236201), we get a palindrome (106868601).

The spelling of 102632400 in words is "one hundred two million, six hundred thirty-two thousand, four hundred".