105053313 has 8 divisors (see below), whose sum is σ = 140735776. Its totient is φ = 69703200.

The previous prime is 105053309. The next prime is 105053321. The reversal of 105053313 is 313350501.

It is a happy number.

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

It is not a de Polignac number, because 105053313 - 2² = 105053309 is a prime.

It is a super-2 number, since 2×105053313² = 22072397144551938, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105053313.

It is not an unprimeable number, because it can be changed into a prime (105053303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82348 + ... + 83613.

It is an arithmetic number, because the mean of its divisors is an integer number (17591972).

Almost surely, 2^105053313 is an apocalyptic number.

It is an amenable number.

105053313 is a deficient number, since it is larger than the sum of its proper divisors (35682463).

105053313 is a wasteful number, since it uses less digits than its factorization.

105053313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166175.

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 105053313 is about 10249.5518438613. The cubic root of 105053313 is about 471.8492303691.

The spelling of 105053313 in words is "one hundred five million, fifty-three thousand, three hundred thirteen".