105736963 has 4 divisors (see below), whose sum is σ = 107226288. Its totient is φ = 104247640.

The previous prime is 105736949. The next prime is 105736979. The reversal of 105736963 is 369637501.

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

It is a cyclic number.

It is not a de Polignac number, because 105736963 - 2⁵ = 105736931 is a prime.

It is a super-2 number, since 2×105736963² = 22360610688926738, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105736913) 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 3 ways as a sum of consecutive naturals, for example, 744556 + ... + 744697.

It is an arithmetic number, because the mean of its divisors is an integer number (26806572).

Almost surely, 2^105736963 is an apocalyptic number.

105736963 is a deficient number, since it is larger than the sum of its proper divisors (1489325).

105736963 is an equidigital number, since it uses as much as digits as its factorization.

105736963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489324.

The product of its (nonzero) digits is 102060, while the sum is 40.

The square root of 105736963 is about 10282.8480004326. The cubic root of 105736963 is about 472.8705610025.

The spelling of 105736963 in words is "one hundred five million, seven hundred thirty-six thousand, nine hundred sixty-three".