105826064 has 20 divisors (see below), whose sum is σ = 211653120. Its totient is φ = 51205920.

The previous prime is 105826057. The next prime is 105826087. The reversal of 105826064 is 460628501.

105826064 is an admirable number.

It is a super-2 number, since 2×105826064² = 22398311643464192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105826064.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 106184 + ... + 107175.

It is an arithmetic number, because the mean of its divisors is an integer number (10582656).

Almost surely, 2^105826064 is an apocalyptic number.

It is an amenable number.

105826064 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

105826064 is a wasteful number, since it uses less digits than its factorization.

105826064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213398 (or 213392 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 105826064 is about 10287.1795940384. The cubic root of 105826064 is about 473.0033477765.

The spelling of 105826064 in words is "one hundred five million, eight hundred twenty-six thousand, sixty-four".