100253970432 has 832 divisors, whose sum is σ = 378321976320. Its totient is φ = 25480396800.

The previous prime is 100253970403. The next prime is 100253970437. The reversal of 100253970432 is 234079352001.

100253970432 is a `hidden beast` number, since 10 + 0 + 2 + 539 + 70 + 43 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (100253970437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 519450528 + ... + 519450720.

Almost surely, 2^100253970432 is an apocalyptic number.

100253970432 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 100253970432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189160988160).

100253970432 is an abundant number, since it is smaller than the sum of its proper divisors (278068005888).

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

100253970432 is a wasteful number, since it uses less digits than its factorization.

100253970432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 100253970432 in words is "one hundred billion, two hundred fifty-three million, nine hundred seventy thousand, four hundred thirty-two".