10606656500 has 96 divisors (see below), whose sum is σ = 25307493120. Its totient is φ = 3851376000.

The previous prime is 10606656491. The next prime is 10606656553. The reversal of 10606656500 is 565660601.

It is a super-2 number, since 2×10606656500² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6802721 + ... + 6804279.

It is an arithmetic number, because the mean of its divisors is an integer number (263619720).

Almost surely, 2^10606656500 is an apocalyptic number.

10606656500 is a gapful number since it is divisible by the number (10) 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 10606656500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12653746560).

10606656500 is an abundant number, since it is smaller than the sum of its proper divisors (14700836620).

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

10606656500 is a wasteful number, since it uses less digits than its factorization.

10606656500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 10606656500 in words is "ten billion, six hundred six million, six hundred fifty-six thousand, five hundred".