100111010976 has 144 divisors (see below), whose sum is σ = 289356074280. Its totient is φ = 32825917440.

The previous prime is 100111010957. The next prime is 100111010977. The reversal of 100111010976 is 679010111001.

It can be written as a sum of positive squares in 4 ways, for example, as 65804562576 + 34306448400 = 256524^2 + 185220^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×100111010976³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100111010977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8172216 + ... + 8184456.

Almost surely, 2^100111010976 is an apocalyptic number.

100111010976 is a gapful number since it is divisible by the number (16) 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 100111010976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144678037140).

100111010976 is an abundant number, since it is smaller than the sum of its proper divisors (189245063304).

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

100111010976 is a wasteful number, since it uses less digits than its factorization.

100111010976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12719 (or 12708 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 27.

Adding to 100111010976 its reverse (679010111001), we get a palindrome (779121121977).

The spelling of 100111010976 in words is "one hundred billion, one hundred eleven million, ten thousand, nine hundred seventy-six".