11010986100 has 432 divisors, whose sum is σ = 37853577216. Its totient is φ = 2772144000.

The previous prime is 11010986093. The next prime is 11010986101. The reversal of 11010986100 is 168901011.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11010986101) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 35404945 + ... + 35405255.

Almost surely, 2^11010986100 is an apocalyptic number.

11010986100 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 11010986100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18926788608).

11010986100 is an abundant number, since it is smaller than the sum of its proper divisors (26842591116).

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

11010986100 is a wasteful number, since it uses less digits than its factorization.

11010986100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The spelling of 11010986100 in words is "eleven billion, ten million, nine hundred eighty-six thousand, one hundred".