105935288945 has 16 divisors (see below), whose sum is σ = 134609247360. Its totient is φ = 79757639424.

The previous prime is 105935288939. The next prime is 105935288981. The reversal of 105935288945 is 549882539501.

It is a cyclic number.

It is not a de Polignac number, because 105935288945 - 2⁶ = 105935288881 is a prime.

It is a super-2 number, since 2×105935288945² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1589054 + ... + 1654376.

It is an arithmetic number, because the mean of its divisors is an integer number (8413077960).

Almost surely, 2^105935288945 is an apocalyptic number.

It is an amenable number.

105935288945 is a deficient number, since it is larger than the sum of its proper divisors (28673958415).

105935288945 is a wasteful number, since it uses less digits than its factorization.

105935288945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84424.

The product of its (nonzero) digits is 15552000, while the sum is 59.

The spelling of 105935288945 in words is "one hundred five billion, nine hundred thirty-five million, two hundred eighty-eight thousand, nine hundred forty-five".