105038613 has 20 divisors (see below), whose sum is σ = 158362380. Its totient is φ = 69377472.

The previous prime is 105038603. The next prime is 105038617. The reversal of 105038613 is 316830501.

105038613 is a `hidden beast` number, since 10 + 5 + 0 + 38 + 613 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 94128804 + 10909809 = 9702^2 + 3303^2 .

It is not a de Polignac number, because 105038613 - 2⁸ = 105038357 is a prime.

It is a super-2 number, since 2×105038613² = 22066220441927538, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105038617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2881 + ... + 14777.

It is an arithmetic number, because the mean of its divisors is an integer number (7918119).

Almost surely, 2^105038613 is an apocalyptic number.

It is an amenable number.

105038613 is a deficient number, since it is larger than the sum of its proper divisors (53323767).

105038613 is a wasteful number, since it uses less digits than its factorization.

105038613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12018 (or 12009 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 105038613 is about 10248.8347142492. The cubic root of 105038613 is about 471.8272208864.

The spelling of 105038613 in words is "one hundred five million, thirty-eight thousand, six hundred thirteen".