10564950 has 96 divisors (see below), whose sum is σ = 30176640. Its totient is φ = 2419200.

The previous prime is 10564901. The next prime is 10564951. The reversal of 10564950 is 5946501.

It is a super-2 number, since 2×10564950² = 223236337005000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10564951) 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, 31182 + ... + 31518.

It is an arithmetic number, because the mean of its divisors is an integer number (314340).

Almost surely, 2^10564950 is an apocalyptic number.

10564950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10564950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15088320).

10564950 is an abundant number, since it is smaller than the sum of its proper divisors (19611690).

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

10564950 is a wasteful number, since it uses less digits than its factorization.

10564950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 10564950 is about 3250.3769012224. The cubic root of 10564950 is about 219.4265367834.

It can be divided in two parts, 1056 and 4950, that added together give a palindrome (6006).

The spelling of 10564950 in words is "ten million, five hundred sixty-four thousand, nine hundred fifty".