11100208140 has 288 divisors, whose sum is σ = 42536975040. Its totient is φ = 2387847168.

The previous prime is 11100208087. The next prime is 11100208153. The reversal of 11100208140 is 4180200111.

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

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, 437482 + ... + 462158.

It is an arithmetic number, because the mean of its divisors is an integer number (147697830).

Almost surely, 2^11100208140 is an apocalyptic number.

11100208140 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 11100208140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21268487520).

11100208140 is an abundant number, since it is smaller than the sum of its proper divisors (31436766900).

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

11100208140 is a wasteful number, since it uses less digits than its factorization.

11100208140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24726 (or 24711 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11100208140 its reverse (4180200111), we get a palindrome (15280408251).

The spelling of 11100208140 in words is "eleven billion, one hundred million, two hundred eight thousand, one hundred forty".