105044772 has 48 divisors (see below), whose sum is σ = 292303872. Its totient is φ = 28707360.

The previous prime is 105044767. The next prime is 105044773. The reversal of 105044772 is 277440501.

It is a super-2 number, since 2×105044772² = 22068808249063968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105044773) 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, 25254 + ... + 29117.

It is an arithmetic number, because the mean of its divisors is an integer number (6089664).

Almost surely, 2^105044772 is an apocalyptic number.

105044772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105044772 is an abundant number, since it is smaller than the sum of its proper divisors (187259100).

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

105044772 is a wasteful number, since it uses less digits than its factorization.

105044772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54408 (or 54406 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 105044772 is about 10249.1351830289. The cubic root of 105044772 is about 471.8364426604.

The spelling of 105044772 in words is "one hundred five million, forty-four thousand, seven hundred seventy-two".