105056289 has 24 divisors (see below), whose sum is σ = 163887360. Its totient is φ = 64465632.

The previous prime is 105056257. The next prime is 105056297. The reversal of 105056289 is 982650501.

It is a happy number.

105056289 is a `hidden beast` number, since 10 + 5 + 0 + 562 + 89 = 666.

It is not a de Polignac number, because 105056289 - 2⁵ = 105056257 is a prime.

It is a super-2 number, since 2×105056289² = 22073647716903042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105056239) 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, 47952 + ... + 50094.

It is an arithmetic number, because the mean of its divisors is an integer number (6828640).

Almost surely, 2^105056289 is an apocalyptic number.

It is an amenable number.

105056289 is a deficient number, since it is larger than the sum of its proper divisors (58831071).

105056289 is a wasteful number, since it uses less digits than its factorization.

105056289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 105056289 is about 10249.6970199123. The cubic root of 105056289 is about 471.8536859165.

The spelling of 105056289 in words is "one hundred five million, fifty-six thousand, two hundred eighty-nine".