105208993 has 4 divisors (see below), whose sum is σ = 107775108. Its totient is φ = 102642880.

The previous prime is 105208979. The next prime is 105209021. The reversal of 105208993 is 399802501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 7139584 + 98069409 = 2672^2 + 9903^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105208993 is a prime.

It is a super-2 number, since 2×105208993² = 22137864416148098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105208913) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1282996 + ... + 1283077.

It is an arithmetic number, because the mean of its divisors is an integer number (26943777).

Almost surely, 2^105208993 is an apocalyptic number.

It is an amenable number.

105208993 is a deficient number, since it is larger than the sum of its proper divisors (2566115).

105208993 is an equidigital number, since it uses as much as digits as its factorization.

105208993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566114.

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 105208993 is about 10257.1435107441. The cubic root of 105208993 is about 472.0821953594.

The spelling of 105208993 in words is "one hundred five million, two hundred eight thousand, nine hundred ninety-three".