100032302200 has 96 divisors (see below), whose sum is σ = 236198944800. Its totient is φ = 39393999360.

The previous prime is 100032302179. The next prime is 100032302233. The reversal of 100032302200 is 2203230001.

It is a happy number.

It is a super-2 number, since 2×100032302200² (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 3549766 + ... + 3577834.

It is an arithmetic number, because the mean of its divisors is an integer number (2460405675).

Almost surely, 2^100032302200 is an apocalyptic number.

100032302200 is a gapful number since it is divisible by the number (10) 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 100032302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118099472400).

100032302200 is an abundant number, since it is smaller than the sum of its proper divisors (136166642600).

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

100032302200 is a wasteful number, since it uses less digits than its factorization.

100032302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28361 (or 28352 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 100032302200 its reverse (2203230001), we get a palindrome (102235532201).

The spelling of 100032302200 in words is "one hundred billion, thirty-two million, three hundred two thousand, two hundred".