105015015 has 32 divisors (see below), whose sum is σ = 213365760. Its totient is φ = 48006432.

The previous prime is 105014993. The next prime is 105015019. The reversal of 105015015 is 510510501.

It is not a de Polignac number, because 105015015 - 2⁶ = 105014951 is a prime.

It is a super-2 number, since 2×105015015² = 22056306750900450, which contains 22 as substring.

105015015 is a modest number, since divided by 15015 gives 105 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105015019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54619 + ... + 56508.

It is an arithmetic number, because the mean of its divisors is an integer number (6667680).

Almost surely, 2^105015015 is an apocalyptic number.

105015015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105015015 is an abundant number, since it is smaller than the sum of its proper divisors (108350745).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105015015 is a wasteful number, since it uses less digits than its factorization.

105015015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111148 (or 111142 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The square root of 105015015 is about 10247.6833967488. The cubic root of 105015015 is about 471.7918846345.

Adding to 105015015 its reverse (510510501), we get a palindrome (615525516).

The spelling of 105015015 in words is "one hundred five million, fifteen thousand, fifteen".