105073089 has 16 divisors (see below), whose sum is σ = 153387264. Its totient is φ = 63450000.

The previous prime is 105073051. The next prime is 105073093. The reversal of 105073089 is 980370501.

It is not a de Polignac number, because 105073089 - 2⁹ = 105072577 is a prime.

It is a super-2 number, since 2×105073089² = 22080708064003842, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (105073099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3714 + ... + 14964.

It is an arithmetic number, because the mean of its divisors is an integer number (9586704).

Almost surely, 2^105073089 is an apocalyptic number.

It is an amenable number.

105073089 is a deficient number, since it is larger than the sum of its proper divisors (48314175).

105073089 is a wasteful number, since it uses less digits than its factorization.

105073089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11548.

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 105073089 is about 10250.5165235709. The cubic root of 105073089 is about 471.8788366222.

The spelling of 105073089 in words is "one hundred five million, seventy-three thousand, eighty-nine".