105806963 has 4 divisors (see below), whose sum is σ = 112030920. Its totient is φ = 99583008.

The previous prime is 105806959. The next prime is 105807007. The reversal of 105806963 is 369608501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 369608501 = 19 ⋅19453079.

It is not a de Polignac number, because 105806963 - 2² = 105806959 is a prime.

It is a super-2 number, since 2×105806963² = 22390226838566738, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105806903) 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, 3111953 + ... + 3111986.

It is an arithmetic number, because the mean of its divisors is an integer number (28007730).

Almost surely, 2^105806963 is an apocalyptic number.

105806963 is a deficient number, since it is larger than the sum of its proper divisors (6223957).

105806963 is an equidigital number, since it uses as much as digits as its factorization.

105806963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6223956.

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 105806963 is about 10286.2511635678. The cubic root of 105806963 is about 472.9748879301.

The spelling of 105806963 in words is "one hundred five million, eight hundred six thousand, nine hundred sixty-three".