10011924 has 60 divisors (see below), whose sum is σ = 28198324. Its totient is φ = 3079296.

The previous prime is 10011919. The next prime is 10011959. The reversal of 10011924 is 42911001.

It can be written as a sum of positive squares in 2 ways, for example, as 2624400 + 7387524 = 1620^2 + 2718^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10011897 and 10011906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3024 + ... + 5400.

Almost surely, 2^10011924 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14099162).

10011924 is an abundant number, since it is smaller than the sum of its proper divisors (18186400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10011924 is a wasteful number, since it uses less digits than its factorization.

10011924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 10011924 is about 3164.1624484214. The cubic root of 10011924 is about 215.5290665875.

Adding to 10011924 its reverse (42911001), we get a palindrome (52922925).

The spelling of 10011924 in words is "ten million, eleven thousand, nine hundred twenty-four".