105161032567 has 8 divisors (see below), whose sum is σ = 105891110000. Its totient is φ = 104431991040.

The previous prime is 105161032531. The next prime is 105161032577. The reversal of 105161032567 is 765230161501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105161032567 - 2³⁵ = 70801294199 is a prime.

It is a super-2 number, since 2×105161032567² (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 (105161032577) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54684 + ... + 461857.

It is an arithmetic number, because the mean of its divisors is an integer number (13236388750).

Almost surely, 2^105161032567 is an apocalyptic number.

105161032567 is a deficient number, since it is larger than the sum of its proper divisors (730077433).

105161032567 is a wasteful number, since it uses less digits than its factorization.

105161032567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517953.

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 105161032567 in words is "one hundred five billion, one hundred sixty-one million, thirty-two thousand, five hundred sixty-seven".