105733764 has 18 divisors (see below), whose sum is σ = 267271550. Its totient is φ = 35244576.

The previous prime is 105733759. The next prime is 105733807. The reversal of 105733764 is 467337501.

105733764 is a `hidden beast` number, since 10 + 573 + 3 + 76 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62726400 + 43007364 = 7920^2 + 6558^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105733764² = 22359257699215392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2937049 = 105733764 / (1 + 0 + 5 + 7 + 3 + 3 + 7 + 6 + 4).

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 5 ways as a sum of consecutive naturals, for example, 1468489 + ... + 1468560.

Almost surely, 2^105733764 is an apocalyptic number.

It is an amenable number.

105733764 is an abundant number, since it is smaller than the sum of its proper divisors (161537786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105733764 is a wasteful number, since it uses less digits than its factorization.

105733764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937059 (or 2937054 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 105733764 is about 10282.6924489649. The cubic root of 105733764 is about 472.8657921619.

The spelling of 105733764 in words is "one hundred five million, seven hundred thirty-three thousand, seven hundred sixty-four".