105064889 has 16 divisors (see below), whose sum is σ = 112519680. Its totient is φ = 97822080.

The previous prime is 105064853. The next prime is 105064891. The reversal of 105064889 is 988460501.

It is a cyclic number.

It is not a de Polignac number, because 105064889 - 2⁸ = 105064633 is a prime.

It is a super-2 number, since 2×105064889² = 22077261801164642, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105064189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471032 + ... + 471254.

It is an arithmetic number, because the mean of its divisors is an integer number (7032480).

Almost surely, 2^105064889 is an apocalyptic number.

105064889 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

105064889 is a deficient number, since it is larger than the sum of its proper divisors (7454791).

105064889 is a wasteful number, since it uses less digits than its factorization.

105064889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560.

The product of its (nonzero) digits is 69120, while the sum is 41.

The square root of 105064889 is about 10250.1165359229. The cubic root of 105064889 is about 471.8665610174.

The spelling of 105064889 in words is "one hundred five million, sixty-four thousand, eight hundred eighty-nine".