105013137 has 16 divisors (see below), whose sum is σ = 141926400. Its totient is φ = 69061200.

The previous prime is 105013127. The next prime is 105013157. The reversal of 105013137 is 731310501.

It is not a de Polignac number, because 105013137 - 2¹¹ = 105011089 is a prime.

It is a super-2 number, since 2×105013137² = 22055517885161538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105013127) 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 15 ways as a sum of consecutive naturals, for example, 74364 + ... + 75762.

It is an arithmetic number, because the mean of its divisors is an integer number (8870400).

Almost surely, 2^105013137 is an apocalyptic number.

It is an amenable number.

105013137 is a deficient number, since it is larger than the sum of its proper divisors (36913263).

105013137 is a wasteful number, since it uses less digits than its factorization.

105013137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724.

The product of its (nonzero) digits is 315, while the sum is 21.

The square root of 105013137 is about 10247.5917658736. The cubic root of 105013137 is about 471.7890722416.

Adding to 105013137 its reverse (731310501), we get a palindrome (836323638).

The spelling of 105013137 in words is "one hundred five million, thirteen thousand, one hundred thirty-seven".