10509906 has 32 divisors (see below), whose sum is σ = 23328000. Its totient is φ = 3129680.

The previous prime is 10509901. The next prime is 10509913. The reversal of 10509906 is 60990501.

It is a super-2 number, since 2×10509906² = 220916248257672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10509901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2545 + ... + 5243.

It is an arithmetic number, because the mean of its divisors is an integer number (729000).

Almost surely, 2^10509906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10509906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11664000).

10509906 is an abundant number, since it is smaller than the sum of its proper divisors (12818094).

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

10509906 is a wasteful number, since it uses less digits than its factorization.

10509906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774.

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 10509906 is about 3241.8985178441. The cubic root of 10509906 is about 219.0447980748.

The spelling of 10509906 in words is "ten million, five hundred nine thousand, nine hundred six".