11054321315100 has 216 divisors, whose sum is σ = 39601689079680. Its totient is φ = 2526532698240.

The previous prime is 11054321315077. The next prime is 11054321315131. The reversal of 11054321315100 is 151312345011.

11054321315100 is a `hidden beast` number, since 1 + 1 + 0 + 543 + 2 + 1 + 3 + 15 + 100 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 110445679 + ... + 110545721.

Almost surely, 2^{11054321315100} is an apocalyptic number.

11054321315100 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 11054321315100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19800844539840).

11054321315100 is an abundant number, since it is smaller than the sum of its proper divisors (28547367764580).

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

11054321315100 is a wasteful number, since it uses less digits than its factorization.

11054321315100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117609 (or 117599 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 11054321315100 in words is "eleven trillion, fifty-four billion, three hundred twenty-one million, three hundred fifteen thousand, one hundred".