100143090432 has 864 divisors, whose sum is σ = 377126830080. Its totient is φ = 24800256000.

The previous prime is 100143090413. The next prime is 100143090451. The reversal of 100143090432 is 234090341001.

100143090432 is a `hidden beast` number, since 1 + 0 + 0 + 143 + 0 + 90 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (100143090413) and next prime (100143090451).

It is a super-2 number, since 2×100143090432² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100143090396 and 100143090405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 720453819 + ... + 720453957.

Almost surely, 2^100143090432 is an apocalyptic number.

100143090432 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 100143090432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188563415040).

100143090432 is an abundant number, since it is smaller than the sum of its proper divisors (276983739648).

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

100143090432 is a wasteful number, since it uses less digits than its factorization.

100143090432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 100143090432 in words is "one hundred billion, one hundred forty-three million, ninety thousand, four hundred thirty-two".