105105257 has 4 divisors (see below), whose sum is σ = 106828356. Its totient is φ = 103382160.

The previous prime is 105105227. The next prime is 105105277. The reversal of 105105257 is 752501501.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 752501501 = 179 ⋅4203919.

It can be written as a sum of positive squares in 2 ways, for example, as 25110121 + 79995136 = 5011^2 + 8944^2 .

It is a cyclic number.

It is not a de Polignac number, because 105105257 - 2²⁰ = 104056681 is a prime.

It is a super-2 number, since 2×105105257² = 22094230098072098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105105227) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 861458 + ... + 861579.

It is an arithmetic number, because the mean of its divisors is an integer number (26707089).

Almost surely, 2^105105257 is an apocalyptic number.

It is an amenable number.

105105257 is a deficient number, since it is larger than the sum of its proper divisors (1723099).

105105257 is an equidigital number, since it uses as much as digits as its factorization.

105105257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723098.

The product of its (nonzero) digits is 1750, while the sum is 26.

The square root of 105105257 is about 10252.0854951566. The cubic root of 105105257 is about 471.9269867552.

Adding to 105105257 its reverse (752501501), we get a palindrome (857606758).

The spelling of 105105257 in words is "one hundred five million, one hundred five thousand, two hundred fifty-seven".