105736165533 has 16 divisors (see below), whose sum is σ = 156691080000. Its totient is φ = 70470568080.

The previous prime is 105736165481. The next prime is 105736165537. The reversal of 105736165533 is 335561637501.

105736165533 is a `hidden beast` number, since 1 + 0 + 57 + 3 + 6 + 1 + 65 + 533 = 666.

It is not a de Polignac number, because 105736165533 - 2¹² = 105736161437 is a prime.

It is a super-2 number, since 2×105736165533² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105736165537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 465138 + ... + 654083.

It is an arithmetic number, because the mean of its divisors is an integer number (9793192500).

Almost surely, 2^105736165533 is an apocalyptic number.

It is an amenable number.

105736165533 is a deficient number, since it is larger than the sum of its proper divisors (50954914467).

105736165533 is a wasteful number, since it uses less digits than its factorization.

105736165533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122729 (or 1122723 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 45.

The spelling of 105736165533 in words is "one hundred five billion, seven hundred thirty-six million, one hundred sixty-five thousand, five hundred thirty-three".