100000100032 has 84 divisors (see below), whose sum is σ = 233998358520. Its totient is φ = 42270004224.

The previous prime is 100000100009. The next prime is 100000100033. The reversal of 100000100032 is 230001000001.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 100000099988 and 100000100024.

It is not an unprimeable number, because it can be changed into a prime (100000100033) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10519 + ... + 447337.

Almost surely, 2^100000100032 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 100000100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116999179260).

100000100032 is an abundant number, since it is smaller than the sum of its proper divisors (133998258488).

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

100000100032 is an equidigital number, since it uses as much as digits as its factorization.

100000100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436918 (or 436901 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 100000100032 its reverse (230001000001), we get a palindrome (330001100033).

The spelling of 100000100032 in words is "one hundred billion, one hundred thousand, thirty-two".