105768013 has 8 divisors (see below), whose sum is σ = 114802688. Its totient is φ = 96861744.

The previous prime is 105767989. The next prime is 105768031. The reversal of 105768013 is 310867501.

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

It is a cyclic number.

It is not a de Polignac number, because 105768013 - 2¹³ = 105759821 is a prime.

It is a super-2 number, since 2×105768013² = 22373745147936338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105768413) 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, 30381 + ... + 33682.

It is an arithmetic number, because the mean of its divisors is an integer number (14350336).

Almost surely, 2^105768013 is an apocalyptic number.

105768013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105768013 is a deficient number, since it is larger than the sum of its proper divisors (9034675).

105768013 is a wasteful number, since it uses less digits than its factorization.

105768013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64203.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 105768013 is about 10284.3576853394. The cubic root of 105768013 is about 472.9168431273.

The spelling of 105768013 in words is "one hundred five million, seven hundred sixty-eight thousand, thirteen".