100332002320 has 80 divisors (see below), whose sum is σ = 255684974400. Its totient is φ = 36311385600.

The previous prime is 100332002317. The next prime is 100332002327. The reversal of 100332002320 is 23200233001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 100332002294 and 100332002303.

It is not an unprimeable number, because it can be changed into a prime (100332002327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84495 + ... + 455854.

It is an arithmetic number, because the mean of its divisors is an integer number (3196062180).

Almost surely, 2^100332002320 is an apocalyptic number.

100332002320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100332002320 is an abundant number, since it is smaller than the sum of its proper divisors (155352972080).

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

100332002320 is a wasteful number, since it uses less digits than its factorization.

100332002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540584 (or 540578 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 100332002320 its reverse (23200233001), we get a palindrome (123532235321).

The spelling of 100332002320 in words is "one hundred billion, three hundred thirty-two million, two thousand, three hundred twenty".