11005242437100 has 144 divisors (see below), whose sum is σ = 31907982758400. Its totient is φ = 2928640907520.

The previous prime is 11005242436999. The next prime is 11005242437177. The reversal of 11005242437100 is 173424250011.

It is a super-2 number, since 2×11005242437100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301008621 + ... + 301045179.

It is an arithmetic number, because the mean of its divisors is an integer number (221583213600).

Almost surely, 2^{11005242437100} is an apocalyptic number.

11005242437100 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 11005242437100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15953991379200).

11005242437100 is an abundant number, since it is smaller than the sum of its proper divisors (20902740321300).

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

11005242437100 is a wasteful number, since it uses less digits than its factorization.

11005242437100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38632 (or 38625 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 11005242437100 its reverse (173424250011), we get a palindrome (11178666687111).

The spelling of 11005242437100 in words is "eleven trillion, five billion, two hundred forty-two million, four hundred thirty-seven thousand, one hundred".