105698313 has 24 divisors (see below), whose sum is σ = 180118016. Its totient is φ = 58449600.

The previous prime is 105698309. The next prime is 105698321. The reversal of 105698313 is 313896501.

It is a happy number.

105698313 is a `hidden beast` number, since 1 + 0 + 569 + 83 + 13 = 666.

It is not a de Polignac number, because 105698313 - 2² = 105698309 is a prime.

It is a super-2 number, since 2×105698313² = 22344266742091938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105698393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25108 + ... + 29013.

Almost surely, 2^105698313 is an apocalyptic number.

It is an amenable number.

105698313 is a deficient number, since it is larger than the sum of its proper divisors (74419703).

105698313 is a wasteful number, since it uses less digits than its factorization.

105698313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54165 (or 54162 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 105698313 is about 10280.9684855076. The cubic root of 105698313 is about 472.8129379034.

The spelling of 105698313 in words is "one hundred five million, six hundred ninety-eight thousand, three hundred thirteen".