10690128306 has 128 divisors (see below), whose sum is σ = 28871942400. Its totient is φ = 2887073280.

The previous prime is 10690128283. The next prime is 10690128311. The reversal of 10690128306 is 60382109601.

It is a super-2 number, since 2×10690128306² (a number of 21 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 200070 + ... + 247806.

It is an arithmetic number, because the mean of its divisors is an integer number (225562050).

Almost surely, 2^10690128306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10690128306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14435971200).

10690128306 is an abundant number, since it is smaller than the sum of its proper divisors (18181814094).

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

10690128306 is a wasteful number, since it uses less digits than its factorization.

10690128306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47801 (or 47795 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 10690128306 in words is "ten billion, six hundred ninety million, one hundred twenty-eight thousand, three hundred six".