105006724 has 6 divisors (see below), whose sum is σ = 183761774. Its totient is φ = 52503360.

The previous prime is 105006679. The next prime is 105006743. The reversal of 105006724 is 427600501.

It can be written as a sum of positive squares in only one way, i.e., 69222400 + 35784324 = 8320^2 + 5982^2 .

It is a super-2 number, since 2×105006724² = 22052824170424352, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13125837 + ... + 13125844.

Almost surely, 2^105006724 is an apocalyptic number.

It is an amenable number.

105006724 is a deficient number, since it is larger than the sum of its proper divisors (78755050).

105006724 is a wasteful number, since it uses less digits than its factorization.

105006724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26251685 (or 26251683 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 105006724 is about 10247.2788583116. The cubic root of 105006724 is about 471.7794682212.

The spelling of 105006724 in words is "one hundred five million, six thousand, seven hundred twenty-four".