105376313 has 12 divisors (see below), whose sum is σ = 123776640. Its totient is φ = 89441352.

The previous prime is 105376309. The next prime is 105376331. The reversal of 105376313 is 313673501.

It is a happy number.

It is not a de Polignac number, because 105376313 - 2² = 105376309 is a prime.

It is a super-2 number, since 2×105376313² = 22208334682947938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105376373) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5393 + ... + 15486.

It is an arithmetic number, because the mean of its divisors is an integer number (10314720).

Almost surely, 2^105376313 is an apocalyptic number.

It is an amenable number.

105376313 is a deficient number, since it is larger than the sum of its proper divisors (18400327).

105376313 is a wasteful number, since it uses less digits than its factorization.

105376313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20996 (or 20989 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 29.

The square root of 105376313 is about 10265.2965373632. The cubic root of 105376313 is about 472.3323227618.

The spelling of 105376313 in words is "one hundred five million, three hundred seventy-six thousand, three hundred thirteen".