105563764 has 12 divisors (see below), whose sum is σ = 185040324. Its totient is φ = 52695104.

The previous prime is 105563749. The next prime is 105563771. The reversal of 105563764 is 467365501.

It can be written as a sum of positive squares in 2 ways, for example, as 5963364 + 99600400 = 2442^2 + 9980^2 .

It is a super-2 number, since 2×105563764² = 22287416539695392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 18919 + ... + 23854.

It is an arithmetic number, because the mean of its divisors is an integer number (15420027).

Almost surely, 2^105563764 is an apocalyptic number.

It is an amenable number.

105563764 is a deficient number, since it is larger than the sum of its proper divisors (79476560).

105563764 is a wasteful number, since it uses less digits than its factorization.

105563764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43394 (or 43392 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 105563764 is about 10274.4228061726. The cubic root of 105563764 is about 472.6122298098.

The spelling of 105563764 in words is "one hundred five million, five hundred sixty-three thousand, seven hundred sixty-four".