10187793 has 48 divisors (see below), whose sum is σ = 18724992. Its totient is φ = 5184000.

The previous prime is 10187753. The next prime is 10187843. The reversal of 10187793 is 39778101.

It is not a de Polignac number, because 10187793 - 2⁸ = 10187537 is a prime.

It is a super-2 number, since 2×10187793² = 207582252421698, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10187753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42153 + ... + 42393.

It is an arithmetic number, because the mean of its divisors is an integer number (390104).

Almost surely, 2^10187793 is an apocalyptic number.

It is an amenable number.

10187793 is a deficient number, since it is larger than the sum of its proper divisors (8537199).

10187793 is a wasteful number, since it uses less digits than its factorization.

10187793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 10187793 is about 3191.8322324333. The cubic root of 10187793 is about 216.7837397540.

The spelling of 10187793 in words is "ten million, one hundred eighty-seven thousand, seven hundred ninety-three".