105372225 has 96 divisors (see below), whose sum is σ = 229152000. Its totient is φ = 46448640.

The previous prime is 105372221. The next prime is 105372229. The reversal of 105372225 is 522273501.

It is an interprime number because it is at equal distance from previous prime (105372221) and next prime (105372229).

It is not a de Polignac number, because 105372225 - 2² = 105372221 is a prime.

It is a super-2 number, since 2×105372225² = 22206611602901250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105372221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136641 + ... + 137409.

It is an arithmetic number, because the mean of its divisors is an integer number (2387000).

Almost surely, 2^105372225 is an apocalyptic number.

105372225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105372225 is an abundant number, since it is smaller than the sum of its proper divisors (123779775).

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

105372225 is a wasteful number, since it uses less digits than its factorization.

105372225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 105372225 is about 10265.0974179498. The cubic root of 105372225 is about 472.3262147493.

The spelling of 105372225 in words is "one hundred five million, three hundred seventy-two thousand, two hundred twenty-five".