100032112323 has 128 divisors (see below), whose sum is σ = 189183590400. Its totient is φ = 51305270400.

The previous prime is 100032112321. The next prime is 100032112333. The reversal of 100032112323 is 323211230001.

100032112323 is a `hidden beast` number, since 10 + 0 + 0 + 321 + 12 + 323 = 666.

It is not a de Polignac number, because 100032112323 - 2¹ = 100032112321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100032112296 and 100032112305.

It is not an unprimeable number, because it can be changed into a prime (100032112321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2252136 + ... + 2296122.

It is an arithmetic number, because the mean of its divisors is an integer number (1477996800).

Almost surely, 2^100032112323 is an apocalyptic number.

100032112323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100032112323 is a deficient number, since it is larger than the sum of its proper divisors (89151478077).

100032112323 is a wasteful number, since it uses less digits than its factorization.

100032112323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44070 (or 44064 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100032112323 its reverse (323211230001), we get a palindrome (423243342324).

The spelling of 100032112323 in words is "one hundred billion, thirty-two million, one hundred twelve thousand, three hundred twenty-three".