105250113 has 12 divisors (see below), whose sum is σ = 153139428. Its totient is φ = 69653760.

The previous prime is 105250109. The next prime is 105250129. The reversal of 105250113 is 311052501.

It can be written as a sum of positive squares in 2 ways, for example, as 69105969 + 36144144 = 8313^2 + 6012^2 .

It is not a de Polignac number, because 105250113 - 2² = 105250109 is a prime.

It is a super-2 number, since 2×105250113² = 22155172573025538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105250133) 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, 41448 + ... + 43913.

It is an arithmetic number, because the mean of its divisors is an integer number (12761619).

Almost surely, 2^105250113 is an apocalyptic number.

It is an amenable number.

105250113 is a deficient number, since it is larger than the sum of its proper divisors (47889315).

105250113 is a wasteful number, since it uses less digits than its factorization.

105250113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85504 (or 85501 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 105250113 is about 10259.1477716231. The cubic root of 105250113 is about 472.1436903922.

The spelling of 105250113 in words is "one hundred five million, two hundred fifty thousand, one hundred thirteen".