105959315 has 24 divisors (see below), whose sum is σ = 161361072. Its totient is φ = 66050880.

The previous prime is 105959311. The next prime is 105959323. The reversal of 105959315 is 513959501.

It is not a de Polignac number, because 105959315 - 2² = 105959311 is a prime.

It is a super-2 number, since 2×105959315² = 22454752870538450, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105959311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16964 + ... + 22353.

It is an arithmetic number, because the mean of its divisors is an integer number (6723378).

Almost surely, 2^105959315 is an apocalyptic number.

105959315 is a deficient number, since it is larger than the sum of its proper divisors (55401757).

105959315 is a wasteful number, since it uses less digits than its factorization.

105959315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39347 (or 39340 counting only the distinct ones).

The product of its (nonzero) digits is 30375, while the sum is 38.

The square root of 105959315 is about 10293.6541130932. The cubic root of 105959315 is about 473.2017920640.

The spelling of 105959315 in words is "one hundred five million, nine hundred fifty-nine thousand, three hundred fifteen".