105005724 has 24 divisors (see below), whose sum is σ = 245725200. Its totient is φ = 34900224.

The previous prime is 105005713. The next prime is 105005731. The reversal of 105005724 is 427500501.

It is a super-2 number, since 2×105005724² = 22052404145528352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105005694 and 105005703.

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, 8349 + ... + 16724.

It is an arithmetic number, because the mean of its divisors is an integer number (10238550).

Almost surely, 2^105005724 is an apocalyptic number.

It is an amenable number.

105005724 is an abundant number, since it is smaller than the sum of its proper divisors (140719476).

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

105005724 is a wasteful number, since it uses less digits than its factorization.

105005724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25429 (or 25427 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 105005724 is about 10247.2300647541. The cubic root of 105005724 is about 471.7779705998. Note that the first 3 decimals are identical.

The spelling of 105005724 in words is "one hundred five million, five thousand, seven hundred twenty-four".