105964165287 has 24 divisors (see below), whose sum is σ = 153386782640. Its totient is φ = 70491772800.

The previous prime is 105964165271. The next prime is 105964165291. The reversal of 105964165287 is 782561469501.

It is a happy number.

105964165287 is a `hidden beast` number, since 1 + 0 + 59 + 64 + 1 + 6 + 528 + 7 = 666.

It is not a de Polignac number, because 105964165287 - 2⁴ = 105964165271 is a prime.

It is a super-2 number, since 2×105964165287² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105964165297) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17462628 + ... + 17468694.

Almost surely, 2^105964165287 is an apocalyptic number.

105964165287 is a deficient number, since it is larger than the sum of its proper divisors (47422617353).

105964165287 is a wasteful number, since it uses less digits than its factorization.

105964165287 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9903 (or 9900 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 105964165287 in words is "one hundred five billion, nine hundred sixty-four million, one hundred sixty-five thousand, two hundred eighty-seven".