105113115 has 24 divisors (see below), whose sum is σ = 187123248. Its totient is φ = 54544320.

The previous prime is 105113101. The next prime is 105113117. The reversal of 105113115 is 511311501.

It is not a de Polignac number, because 105113115 - 2⁵ = 105113083 is a prime.

It is a super-2 number, since 2×105113115² = 22097533890006450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105113117) 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, 29901 + ... + 33230.

It is an arithmetic number, because the mean of its divisors is an integer number (7796802).

Almost surely, 2^105113115 is an apocalyptic number.

105113115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105113115 is a deficient number, since it is larger than the sum of its proper divisors (82010133).

105113115 is a wasteful number, since it uses less digits than its factorization.

105113115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63179 (or 63176 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 18.

The square root of 105113115 is about 10252.4687270920. The cubic root of 105113115 is about 471.9387473780.

Adding to 105113115 its reverse (511311501), we get a palindrome (616424616).

The spelling of 105113115 in words is "one hundred five million, one hundred thirteen thousand, one hundred fifteen".