111506104400 has 60 divisors (see below), whose sum is σ = 267986854812. Its totient is φ = 44586885120.

The previous prime is 111506104399. The next prime is 111506104453. The reversal of 111506104400 is 4401605111.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 25438974016 + 86067130384 = 159496^2 + 293372^2 .

It is a super-2 number, since 2×111506104400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1135664 + ... + 1229936.

Almost surely, 2^111506104400 is an apocalyptic number.

111506104400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111506104400 is an abundant number, since it is smaller than the sum of its proper divisors (156480750412).

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

111506104400 is a wasteful number, since it uses less digits than its factorization.

111506104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97248 (or 97237 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 111506104400 its reverse (4401605111), we get a palindrome (115907709511).

The spelling of 111506104400 in words is "one hundred eleven billion, five hundred six million, one hundred four thousand, four hundred".