10005751 has 12 divisors (see below), whose sum is σ = 11840040. Its totient is φ = 8428560.

The previous prime is 10005731. The next prime is 10005773. The reversal of 10005751 is 15750001.

It is not a de Polignac number, because 10005751 - 2⁷ = 10005623 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1161 + ... + 4621.

It is an arithmetic number, because the mean of its divisors is an integer number (986670).

Almost surely, 2^10005751 is an apocalyptic number.

10005751 is a deficient number, since it is larger than the sum of its proper divisors (1834289).

10005751 is an equidigital number, since it uses as much as digits as its factorization.

10005751 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3534 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 19.

The square root of 10005751 is about 3163.1868424107. The cubic root of 10005751 is about 215.4847616014.

Adding to 10005751 its reverse (15750001), we get a palindrome (25755752).

The spelling of 10005751 in words is "ten million, five thousand, seven hundred fifty-one".