105054313 has 16 divisors (see below), whose sum is σ = 129548160. Its totient is φ = 82958976.

The previous prime is 105054311. The next prime is 105054343. The reversal of 105054313 is 313450501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105054313 - 2¹ = 105054311 is a prime.

It is a super-2 number, since 2×105054313² = 22072817359803938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105054311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72906 + ... + 74332.

It is an arithmetic number, because the mean of its divisors is an integer number (8096760).

Almost surely, 2^105054313 is an apocalyptic number.

105054313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105054313 is a deficient number, since it is larger than the sum of its proper divisors (24493847).

105054313 is a wasteful number, since it uses less digits than its factorization.

105054313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256.

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 105054313 is about 10249.6006263659. The cubic root of 105054313 is about 471.8507275382.

The spelling of 105054313 in words is "one hundred five million, fifty-four thousand, three hundred thirteen".