10500633 has 48 divisors (see below), whose sum is σ = 18345600. Its totient is φ = 5702400.

The previous prime is 10500617. The next prime is 10500641. The reversal of 10500633 is 33600501.

It is not a de Polignac number, because 10500633 - 2⁴ = 10500617 is a prime.

It is a super-2 number, since 2×10500633² = 220526586801378, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10500613) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52668 + ... + 52866.

It is an arithmetic number, because the mean of its divisors is an integer number (382200).

Almost surely, 2^10500633 is an apocalyptic number.

10500633 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10500633 is a deficient number, since it is larger than the sum of its proper divisors (7844967).

10500633 is a wasteful number, since it uses less digits than its factorization.

10500633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 10500633 is about 3240.4680217524. The cubic root of 10500633 is about 218.9803572800.

The spelling of 10500633 in words is "ten million, five hundred thousand, six hundred thirty-three".