10505936 has 40 divisors (see below), whose sum is σ = 24492480. Its totient is φ = 4264704.

The previous prime is 10505921. The next prime is 10505939. The reversal of 10505936 is 63950501.

It is a super-2 number, since 2×10505936² = 220749382472192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10505899 and 10505908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505939) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 341 + ... + 4596.

It is an arithmetic number, because the mean of its divisors is an integer number (612312).

Almost surely, 2^10505936 is an apocalyptic number.

10505936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10505936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12246240).

10505936 is an abundant number, since it is smaller than the sum of its proper divisors (13986544).

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

10505936 is a wasteful number, since it uses less digits than its factorization.

10505936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4971 (or 4965 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 29.

The square root of 10505936 is about 3241.2861644724. The cubic root of 10505936 is about 219.0172140233.

The spelling of 10505936 in words is "ten million, five hundred five thousand, nine hundred thirty-six".