105115359 has 16 divisors (see below), whose sum is σ = 149363712. Its totient is φ = 65601888.

The previous prime is 105115357. The next prime is 105115363. The reversal of 105115359 is 953511501.

It is not a de Polignac number, because 105115359 - 2¹ = 105115357 is a prime.

It is a super-2 number, since 2×105115359² = 22098477395397762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105115357) 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, 12964 + ... + 19449.

It is an arithmetic number, because the mean of its divisors is an integer number (9335232).

Almost surely, 2^105115359 is an apocalyptic number.

105115359 is a deficient number, since it is larger than the sum of its proper divisors (44248353).

105115359 is a wasteful number, since it uses less digits than its factorization.

105115359 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32486.

The product of its (nonzero) digits is 3375, while the sum is 30.

The square root of 105115359 is about 10252.5781635645. The cubic root of 105115359 is about 471.9421057379.

The spelling of 105115359 in words is "one hundred five million, one hundred fifteen thousand, three hundred fifty-nine".