105100044 has 48 divisors (see below), whose sum is σ = 289314816. Its totient is φ = 29059200.

The previous prime is 105100043. The next prime is 105100049. The reversal of 105100044 is 440001501.

It is a super-2 number, since 2×105100044² = 22092038497603872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105099996 and 105100032.

It is not an unprimeable number, because it can be changed into a prime (105100043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17577 + ... + 22784.

It is an arithmetic number, because the mean of its divisors is an integer number (6027392).

Almost surely, 2^105100044 is an apocalyptic number.

105100044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105100044 is an abundant number, since it is smaller than the sum of its proper divisors (184214772).

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

105100044 is a wasteful number, since it uses less digits than its factorization.

105100044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40406 (or 40404 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 105100044 is about 10251.8312510497. The cubic root of 105100044 is about 471.9191844304.

Adding to 105100044 its reverse (440001501), we get a palindrome (545101545).

The spelling of 105100044 in words is "one hundred five million, one hundred thousand, forty-four".