100113444 has 36 divisors (see below), whose sum is σ = 257218780. Its totient is φ = 32823360.

The previous prime is 100113443. The next prime is 100113469. The reversal of 100113444 is 444311001.

It can be written as a sum of positive squares in 2 ways, for example, as 10810944 + 89302500 = 3288^2 + 9450^2 .

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

It is a super-2 number, since 2×100113444² = 20045403339082272, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (100113443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20599 + ... + 24990.

Almost surely, 2^100113444 is an apocalyptic number.

It is an amenable number.

100113444 is an abundant number, since it is smaller than the sum of its proper divisors (157105336).

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

100113444 is a wasteful number, since it uses less digits than its factorization.

100113444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45660 (or 45655 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 100113444 is about 10005.6705922192. The cubic root of 100113444 is about 464.3343371653.

Adding to 100113444 its reverse (444311001), we get a palindrome (544424445).

The spelling of 100113444 in words is "one hundred million, one hundred thirteen thousand, four hundred forty-four".