11305250100 has 216 divisors, whose sum is σ = 36562665048. Its totient is φ = 2919628800.

The previous prime is 11305250071. The next prime is 11305250107. The reversal of 11305250100 is 105250311.

11305250100 is a `hidden beast` number, since 1 + 130 + 525 + 0 + 10 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 851005584 + 10454244516 = 29172^2 + 102246^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11305250107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8557440 + ... + 8558760.

Almost surely, 2^11305250100 is an apocalyptic number.

11305250100 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 11305250100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18281332524).

11305250100 is an abundant number, since it is smaller than the sum of its proper divisors (25257414948).

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

11305250100 is a wasteful number, since it uses less digits than its factorization.

11305250100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The spelling of 11305250100 in words is "eleven billion, three hundred five million, two hundred fifty thousand, one hundred".