105008315 has 8 divisors (see below), whose sum is σ = 130075008. Its totient is φ = 81296640.

The previous prime is 105008297. The next prime is 105008327. The reversal of 105008315 is 513800501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105008315 - 2¹⁶ = 104942779 is a prime.

It is a super-2 number, since 2×105008315² = 22053492438278450, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 338582 + ... + 338891.

It is an arithmetic number, because the mean of its divisors is an integer number (16259376).

Almost surely, 2^105008315 is an apocalyptic number.

105008315 is a deficient number, since it is larger than the sum of its proper divisors (25066693).

105008315 is an equidigital number, since it uses as much as digits as its factorization.

105008315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677509.

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 105008315 is about 10247.3564883827. The cubic root of 105008315 is about 471.7818509174.

Adding to 105008315 its reverse (513800501), we get a palindrome (618808816).

The spelling of 105008315 in words is "one hundred five million, eight thousand, three hundred fifteen".