100032444 has 36 divisors (see below), whose sum is σ = 253431360. Its totient is φ = 33268800.

The previous prime is 100032433. The next prime is 100032469. The reversal of 100032444 is 444230001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×100032444² = 20012979705226272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 14344 + ... + 20144.

It is an arithmetic number, because the mean of its divisors is an integer number (7039760).

Almost surely, 2^100032444 is an apocalyptic number.

It is an amenable number.

100032444 is an abundant number, since it is smaller than the sum of its proper divisors (153398916).

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

100032444 is a wasteful number, since it uses less digits than its factorization.

100032444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6290 (or 6285 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 100032444 is about 10001.6220684447. The cubic root of 100032444 is about 464.2090751696.

Adding to 100032444 its reverse (444230001), we get a palindrome (544262445).

The spelling of 100032444 in words is "one hundred million, thirty-two thousand, four hundred forty-four".