105832080765 has 64 divisors (see below), whose sum is σ = 191081675520. Its totient is φ = 55564185600.

The previous prime is 105832080751. The next prime is 105832080797. The reversal of 105832080765 is 567080238501.

105832080765 is a `hidden beast` number, since 1 + 0 + 583 + 2 + 0 + 8 + 0 + 7 + 65 = 666.

It is not a de Polignac number, because 105832080765 - 2⁷ = 105832080637 is a prime.

It is a super-2 number, since 2×105832080765² (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 Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105832080765.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18240865 + ... + 18246665.

It is an arithmetic number, because the mean of its divisors is an integer number (2985651180).

Almost surely, 2^105832080765 is an apocalyptic number.

105832080765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105832080765 is a deficient number, since it is larger than the sum of its proper divisors (85249594755).

105832080765 is a wasteful number, since it uses less digits than its factorization.

105832080765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7899 (or 7893 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 105832080765 in words is "one hundred five billion, eight hundred thirty-two million, eighty thousand, seven hundred sixty-five".