10761106122 has 80 divisors (see below), whose sum is σ = 26669705832. Its totient is φ = 3221596800.

The previous prime is 10761106121. The next prime is 10761106127. The reversal of 10761106122 is 22160116701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7113066921 + 3648039201 = 84339^2 + 60399^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10761106121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8872 + ... + 146972.

Almost surely, 2^10761106122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10761106122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13334852916).

10761106122 is an abundant number, since it is smaller than the sum of its proper divisors (15908599710).

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

10761106122 is a wasteful number, since it uses less digits than its factorization.

10761106122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138165 (or 138156 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 10761106122 in words is "ten billion, seven hundred sixty-one million, one hundred six thousand, one hundred twenty-two".