10775766100 has 36 divisors (see below), whose sum is σ = 25509179808. Its totient is φ = 3918460000.

The previous prime is 10775766091. The next prime is 10775766103. The reversal of 10775766100 is 166757701.

It is a super-2 number, since 2×10775766100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10775766103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4896976 + ... + 4899175.

It is an arithmetic number, because the mean of its divisors is an integer number (708588328).

Almost surely, 2^10775766100 is an apocalyptic number.

10775766100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10775766100 is an abundant number, since it is smaller than the sum of its proper divisors (14733413708).

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

10775766100 is a wasteful number, since it uses less digits than its factorization.

10775766100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9796176 (or 9796169 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 40.

The spelling of 10775766100 in words is "ten billion, seven hundred seventy-five million, seven hundred sixty-six thousand, one hundred".