10123633 has 16 divisors (see below), whose sum is σ = 11309760. Its totient is φ = 9003456.

The previous prime is 10123601. The next prime is 10123649. The reversal of 10123633 is 33632101.

It is a cyclic number.

It is not a de Polignac number, because 10123633 - 2⁵ = 10123601 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10123633.

It is not an unprimeable number, because it can be changed into a prime (10123693) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 51291 + ... + 51487.

It is an arithmetic number, because the mean of its divisors is an integer number (706860).

Almost surely, 2^10123633 is an apocalyptic number.

10123633 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10123633 is a deficient number, since it is larger than the sum of its proper divisors (1186127).

10123633 is a wasteful number, since it uses less digits than its factorization.

10123633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 10123633 is about 3181.7657047621. The cubic root of 10123633 is about 216.3276990330.

Adding to 10123633 its reverse (33632101), we get a palindrome (43755734).

The spelling of 10123633 in words is "ten million, one hundred twenty-three thousand, six hundred thirty-three".