102632520400 has 240 divisors, whose sum is σ = 266541422400. Its totient is φ = 37851770880.

The previous prime is 102632520359. The next prime is 102632520439. The reversal of 102632520400 is 4025236201.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166340892 + ... + 166341508.

It is an arithmetic number, because the mean of its divisors is an integer number (1110589260).

Almost surely, 2^102632520400 is an apocalyptic number.

102632520400 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 102632520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133270711200).

102632520400 is an abundant number, since it is smaller than the sum of its proper divisors (163908902000).

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

102632520400 is a wasteful number, since it uses less digits than its factorization.

102632520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 102632520400 its reverse (4025236201), we get a palindrome (106657756601).

The spelling of 102632520400 in words is "one hundred two billion, six hundred thirty-two million, five hundred twenty thousand, four hundred".