11380876100 has 288 divisors, whose sum is σ = 30454050816. Its totient is φ = 3639961600.

The previous prime is 11380876099. The next prime is 11380876207. The reversal of 11380876100 is 167808311.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20214419 + ... + 20214981.

It is an arithmetic number, because the mean of its divisors is an integer number (105743232).

Almost surely, 2^11380876100 is an apocalyptic number.

11380876100 is a gapful number since it is divisible by the number (10) 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 11380876100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15227025408).

11380876100 is an abundant number, since it is smaller than the sum of its proper divisors (19073174716).

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

11380876100 is a wasteful number, since it uses less digits than its factorization.

11380876100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 35.

The spelling of 11380876100 in words is "eleven billion, three hundred eighty million, eight hundred seventy-six thousand, one hundred".