100023234432 has 128 divisors (see below), whose sum is σ = 294166857600. Its totient is φ = 29857597440.

The previous prime is 100023234359. The next prime is 100023234449. The reversal of 100023234432 is 234432320001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106294 + ... + 459722.

It is an arithmetic number, because the mean of its divisors is an integer number (2298178575).

Almost surely, 2^100023234432 is an apocalyptic number.

100023234432 is a gapful number since it is divisible by the number (12) 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 100023234432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147083428800).

100023234432 is an abundant number, since it is smaller than the sum of its proper divisors (194143623168).

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

100023234432 is a wasteful number, since it uses less digits than its factorization.

100023234432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353524 (or 353512 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 100023234432 its reverse (234432320001), we get a palindrome (334455554433).

The spelling of 100023234432 in words is "one hundred billion, twenty-three million, two hundred thirty-four thousand, four hundred thirty-two".