105813007 has 8 divisors (see below), whose sum is σ = 108802512. Its totient is φ = 102830400.

The previous prime is 105812999. The next prime is 105813011. The reversal of 105813007 is 700318501.

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

It is not a de Polignac number, because 105813007 - 2³ = 105812999 is a prime.

It is a super-2 number, since 2×105813007² = 22392784900764098, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105813047) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 53832 + ... + 55762.

It is an arithmetic number, because the mean of its divisors is an integer number (13600314).

Almost surely, 2^105813007 is an apocalyptic number.

105813007 is a deficient number, since it is larger than the sum of its proper divisors (2989505).

105813007 is a wasteful number, since it uses less digits than its factorization.

105813007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449.

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 105813007 is about 10286.5449495931. The cubic root of 105813007 is about 472.9838936569.

The spelling of 105813007 in words is "one hundred five million, eight hundred thirteen thousand, seven".