10797761106 has 128 divisors (see below), whose sum is σ = 28307128320. Its totient is φ = 3013920000.

The previous prime is 10797761087. The next prime is 10797761119. The reversal of 10797761106 is 60116779701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 463231 + ... + 485981.

It is an arithmetic number, because the mean of its divisors is an integer number (221149440).

Almost surely, 2^10797761106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10797761106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14153564160).

10797761106 is an abundant number, since it is smaller than the sum of its proper divisors (17509367214).

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

10797761106 is a wasteful number, since it uses less digits than its factorization.

10797761106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22837 (or 22831 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

It can be divided in two parts, 10797 and 761106, that added together give a triangular number (771903 = T₁₂₄₂).

The spelling of 10797761106 in words is "ten billion, seven hundred ninety-seven million, seven hundred sixty-one thousand, one hundred six".