105027315 has 32 divisors (see below), whose sum is σ = 176117760. Its totient is φ = 53344896.

The previous prime is 105027289. The next prime is 105027317. The reversal of 105027315 is 513720501.

It is not a de Polignac number, because 105027315 - 2²² = 100833011 is a prime.

It is a super-2 number, since 2×105027315² = 22061473792218450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105027317) 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, 100566 + ... + 101604.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2^105027315 is an apocalyptic number.

105027315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105027315 is a deficient number, since it is larger than the sum of its proper divisors (71090445).

105027315 is a wasteful number, since it uses less digits than its factorization.

105027315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363.

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 105027315 is about 10248.2835148136. The cubic root of 105027315 is about 471.8103036311.

Adding to 105027315 its reverse (513720501), we get a palindrome (618747816).

The spelling of 105027315 in words is "one hundred five million, twenty-seven thousand, three hundred fifteen".