105845887989 has 24 divisors (see below), whose sum is σ = 154430924544. Its totient is φ = 69852300000.

The previous prime is 105845887969. The next prime is 105845887999. The reversal of 105845887989 is 989788548501.

105845887989 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 458 + 87 + 98 + 9 = 666.

It is not a de Polignac number, because 105845887989 - 2⁸ = 105845887733 is a prime.

It is a super-2 number, since 2×105845887989² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105845887919) 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, 9221524 + ... + 9232994.

It is an arithmetic number, because the mean of its divisors is an integer number (6434621856).

Almost surely, 2^105845887989 is an apocalyptic number.

It is an amenable number.

105845887989 is a deficient number, since it is larger than the sum of its proper divisors (48585036555).

105845887989 is a wasteful number, since it uses less digits than its factorization.

105845887989 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21729 (or 21726 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 72.

The spelling of 105845887989 in words is "one hundred five billion, eight hundred forty-five million, eight hundred eighty-seven thousand, nine hundred eighty-nine".