105456689 has 8 divisors (see below), whose sum is σ = 113648640. Its totient is φ = 97276176.

The previous prime is 105456647. The next prime is 105456691. The reversal of 105456689 is 986654501.

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 105456689 - 2⁸ = 105456433 is a prime.

It is a super-2 number, since 2×105456689² = 22242226509685442, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105456889) 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, 33422 + ... + 36440.

It is an arithmetic number, because the mean of its divisors is an integer number (14206080).

Almost surely, 2^105456689 is an apocalyptic number.

It is an amenable number.

105456689 is a deficient number, since it is larger than the sum of its proper divisors (8191951).

105456689 is a wasteful number, since it uses less digits than its factorization.

105456689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5719.

The product of its (nonzero) digits is 259200, while the sum is 44.

The square root of 105456689 is about 10269.2107291651. The cubic root of 105456689 is about 472.4523830592.

The spelling of 105456689 in words is "one hundred five million, four hundred fifty-six thousand, six hundred eighty-nine".