105645264 has 20 divisors (see below), whose sum is σ = 272917056. Its totient is φ = 35215072.

The previous prime is 105645227. The next prime is 105645269. The reversal of 105645264 is 462546501.

It is a super-2 number, since 2×105645264² = 22321843611259392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105645269) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1100424 + ... + 1100519.

Almost surely, 2^105645264 is an apocalyptic number.

It is an amenable number.

105645264 is an abundant number, since it is smaller than the sum of its proper divisors (167271792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105645264 is a wasteful number, since it uses less digits than its factorization.

105645264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200954 (or 2200948 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 105645264 is about 10278.3882004914. The cubic root of 105645264 is about 472.7338245282.

The spelling of 105645264 in words is "one hundred five million, six hundred forty-five thousand, two hundred sixty-four".