10005754 has 16 divisors (see below), whose sum is σ = 16938720. Its totient is φ = 4390960.

The previous prime is 10005731. The next prime is 10005773. The reversal of 10005754 is 45750001.

It is a super-2 number, since 2×10005754² = 200230226217032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7204 + ... + 8479.

It is an arithmetic number, because the mean of its divisors is an integer number (1058670).

Almost surely, 2^10005754 is an apocalyptic number.

10005754 is a deficient number, since it is larger than the sum of its proper divisors (6932966).

10005754 is a wasteful number, since it uses less digits than its factorization.

10005754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15725.

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 10005754 is about 3163.1873166159. The cubic root of 10005754 is about 215.4847831375.

Adding to 10005754 its reverse (45750001), we get a palindrome (55755755).

The spelling of 10005754 in words is "ten million, five thousand, seven hundred fifty-four".