105345315 has 24 divisors (see below), whose sum is σ = 184916160. Its totient is φ = 55471104.

The previous prime is 105345293. The next prime is 105345349. The reversal of 105345315 is 513543501.

105345315 is a `hidden beast` number, since 1 + 0 + 5 + 345 + 315 = 666.

It is not a de Polignac number, because 105345315 - 2⁹ = 105344803 is a prime.

It is a super-2 number, since 2×105345315² = 22195270784898450, 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 23 ways as a sum of consecutive naturals, for example, 11262 + ... + 18371.

It is an arithmetic number, because the mean of its divisors is an integer number (7704840).

Almost surely, 2^105345315 is an apocalyptic number.

105345315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105345315 is a deficient number, since it is larger than the sum of its proper divisors (79570845).

105345315 is a wasteful number, since it uses less digits than its factorization.

105345315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29723 (or 29720 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 105345315 is about 10263.7865819589. The cubic root of 105345315 is about 472.2860037083.

Adding to 105345315 its reverse (513543501), we get a palindrome (618888816).

The spelling of 105345315 in words is "one hundred five million, three hundred forty-five thousand, three hundred fifteen".