102320432100 has 324 divisors, whose sum is σ = 349439301120. Its totient is φ = 25013059200.

The previous prime is 102320432077. The next prime is 102320432117. The reversal of 102320432100 is 1234023201.

102320432100 is a `hidden beast` number, since 1 + 0 + 232 + 0 + 432 + 1 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10066821 + ... + 10076979.

Almost surely, 2^102320432100 is an apocalyptic number.

102320432100 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 102320432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174719650560).

102320432100 is an abundant number, since it is smaller than the sum of its proper divisors (247118869020).

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

102320432100 is a wasteful number, since it uses less digits than its factorization.

102320432100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10248 (or 10219 counting only the distinct ones).

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

Adding to 102320432100 its reverse (1234023201), we get a palindrome (103554455301).

The spelling of 102320432100 in words is "one hundred two billion, three hundred twenty million, four hundred thirty-two thousand, one hundred".