11300144100 has 144 divisors (see below), whose sum is σ = 38375960448. Its totient is φ = 2513064960.

The previous prime is 11300144081. The next prime is 11300144101. The reversal of 11300144100 is 144100311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11300144100.

It is not an unprimeable number, because it can be changed into a prime (11300144101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4984 + ... + 150416.

Almost surely, 2^11300144100 is an apocalyptic number.

11300144100 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 11300144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19187980224).

11300144100 is an abundant number, since it is smaller than the sum of its proper divisors (27075816348).

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

11300144100 is a wasteful number, since it uses less digits than its factorization.

11300144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145494 (or 145487 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11300144100 its reverse (144100311), we get a palindrome (11444244411).

The spelling of 11300144100 in words is "eleven billion, three hundred million, one hundred forty-four thousand, one hundred".