105044625 has 48 divisors (see below), whose sum is σ = 216428160. Its totient is φ = 48016800.

The previous prime is 105044609. The next prime is 105044627. The reversal of 105044625 is 526440501.

It is not a de Polignac number, because 105044625 - 2⁴ = 105044609 is a prime.

It is a super-2 number, since 2×105044625² = 22068746482781250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105044627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1206 + ... + 14544.

It is an arithmetic number, because the mean of its divisors is an integer number (4508920).

Almost surely, 2^105044625 is an apocalyptic number.

105044625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105044625 is an abundant number, since it is smaller than the sum of its proper divisors (111383535).

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

105044625 is a wasteful number, since it uses less digits than its factorization.

105044625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13367 (or 13354 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 105044625 is about 10249.1280116896. The cubic root of 105044625 is about 471.8362225638.

It can be divided in two parts, 10504 and 4625, that added together give a square (15129 = 123²).

The spelling of 105044625 in words is "one hundred five million, forty-four thousand, six hundred twenty-five".