100023964624 has 80 divisors (see below), whose sum is σ = 201862080000. Its totient is φ = 47961377280.

The previous prime is 100023964597. The next prime is 100023964637. The reversal of 100023964624 is 426469320001.

It is a happy number.

It is a super-3 number, since 3×100023964624³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37615807 + ... + 37618465.

It is an arithmetic number, because the mean of its divisors is an integer number (2523276000).

Almost surely, 2^100023964624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100023964624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100931040000).

100023964624 is an abundant number, since it is smaller than the sum of its proper divisors (101838115376).

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

100023964624 is a wasteful number, since it uses less digits than its factorization.

100023964624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 100023964624 in words is "one hundred billion, twenty-three million, nine hundred sixty-four thousand, six hundred twenty-four".