11100230400 has 216 divisors, whose sum is σ = 41866875904. Its totient is φ = 2537164800.

The previous prime is 11100230389. The next prime is 11100230411. The reversal of 11100230400 is 403200111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11100230389) and next prime (11100230411).

It is a super-2 number, since 2×11100230400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93105 + ... + 175695.

Almost surely, 2^11100230400 is an apocalyptic number.

11100230400 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 11100230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20933437952).

11100230400 is an abundant number, since it is smaller than the sum of its proper divisors (30766645504).

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

11100230400 is an equidigital number, since it uses as much as digits as its factorization.

11100230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82627 (or 82608 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11100230400 its reverse (403200111), we get a palindrome (11503430511).

The spelling of 11100230400 in words is "eleven billion, one hundred million, two hundred thirty thousand, four hundred".