10506906 has 48 divisors (see below), whose sum is σ = 24373440. Its totient is φ = 3263040.

The previous prime is 10506889. The next prime is 10506907. The reversal of 10506906 is 60960501.

It is a super-2 number, since 2×10506906² = 220790147385672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10506906.

It is not an unprimeable number, because it can be changed into a prime (10506907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16665 + ... + 17283.

It is an arithmetic number, because the mean of its divisors is an integer number (507780).

Almost surely, 2^10506906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10506906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12186720).

10506906 is an abundant number, since it is smaller than the sum of its proper divisors (13866534).

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

10506906 is a wasteful number, since it uses less digits than its factorization.

10506906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 10506906 is about 3241.4357929782. The cubic root of 10506906 is about 219.0239543448.

The spelling of 10506906 in words is "ten million, five hundred six thousand, nine hundred six".