105301131 has 16 divisors (see below), whose sum is σ = 152224800. Its totient is φ = 64362240.

The previous prime is 105301127. The next prime is 105301169. The reversal of 105301131 is 131103501.

It is not a de Polignac number, because 105301131 - 2² = 105301127 is a prime.

It is a super-2 number, since 2×105301131² = 22176656379758322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105301131.

It is not an unprimeable number, because it can be changed into a prime (105301171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3250 + ... + 14871.

It is an arithmetic number, because the mean of its divisors is an integer number (9514050).

Almost surely, 2^105301131 is an apocalyptic number.

105301131 is a deficient number, since it is larger than the sum of its proper divisors (46923669).

105301131 is a wasteful number, since it uses less digits than its factorization.

105301131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18286.

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 105301131 is about 10261.6339342231. The cubic root of 105301131 is about 472.2199656414.

Adding to 105301131 its reverse (131103501), we get a palindrome (236404632).

The spelling of 105301131 in words is "one hundred five million, three hundred one thousand, one hundred thirty-one".