105724736 has 56 divisors (see below), whose sum is σ = 228807264. Its totient is φ = 48176640.

The previous prime is 105724733. The next prime is 105724741. The reversal of 105724736 is 637427501.

It is a super-2 number, since 2×105724736² = 22355439604539392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105724696 and 105724705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105724733) 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, 68291 + ... + 69821.

It is an arithmetic number, because the mean of its divisors is an integer number (4085844).

Almost surely, 2^105724736 is an apocalyptic number.

105724736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105724736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114403632).

105724736 is an abundant number, since it is smaller than the sum of its proper divisors (123082528).

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

105724736 is a wasteful number, since it uses less digits than its factorization.

105724736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 105724736 is about 10282.2534495119. The cubic root of 105724736 is about 472.8523333457.

The spelling of 105724736 in words is "one hundred five million, seven hundred twenty-four thousand, seven hundred thirty-six".