105824064 has 56 divisors (see below), whose sum is σ = 281277568. Its totient is φ = 35112960.

The previous prime is 105824057. The next prime is 105824077. The reversal of 105824064 is 460428501.

It is a super-2 number, since 2×105824064² = 22397465042952192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45129 + ... + 47415.

Almost surely, 2^105824064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105824064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140638784).

105824064 is an abundant number, since it is smaller than the sum of its proper divisors (175453504).

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

105824064 is a wasteful number, since it uses less digits than its factorization.

105824064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2543 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 105824064 is about 10287.0823852052. The cubic root of 105824064 is about 473.0003680045. Note that the first 3 decimals are identical.

The spelling of 105824064 in words is "one hundred five million, eight hundred twenty-four thousand, sixty-four".