105575121 has 12 divisors (see below), whose sum is σ = 153470772. Its totient is φ = 69934176.

The previous prime is 105575089. The next prime is 105575137. The reversal of 105575121 is 121575501.

It can be written as a sum of positive squares in 2 ways, for example, as 43086096 + 62489025 = 6564^2 + 7905^2 .

It is not a de Polignac number, because 105575121 - 2⁵ = 105575089 is a prime.

It is a super-2 number, since 2×105575121² = 22292212348329282, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105575161) 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, 35946 + ... + 38771.

It is an arithmetic number, because the mean of its divisors is an integer number (12789231).

Almost surely, 2^105575121 is an apocalyptic number.

It is an amenable number.

105575121 is a deficient number, since it is larger than the sum of its proper divisors (47895651).

105575121 is a wasteful number, since it uses less digits than its factorization.

105575121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74880 (or 74877 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 27.

The square root of 105575121 is about 10274.9754744233. The cubic root of 105575121 is about 472.6291777486.

It can be divided in two parts, 1055 and 75121, that added together give a square (76176 = 276²).

The spelling of 105575121 in words is "one hundred five million, five hundred seventy-five thousand, one hundred twenty-one".