1105112400 has 120 divisors (see below), whose sum is σ = 4045794624. Its totient is φ = 252595200.

The previous prime is 1105112399. The next prime is 1105112423. The reversal of 1105112400 is 42115011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 1105112400.

It is a congruent number.

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, 57381 + ... + 74180.

Almost surely, 2^1105112400 is an apocalyptic number.

1105112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1105112400 is an abundant number, since it is smaller than the sum of its proper divisors (2940682224).

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

1105112400 is a wasteful number, since it uses less digits than its factorization.

1105112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131589 (or 131578 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 1105112400 is about 33243.2308899120. The cubic root of 1105112400 is about 1033.8768651687.

Adding to 1105112400 its reverse (42115011), we get a palindrome (1147227411).

The spelling of 1105112400 in words is "one billion, one hundred five million, one hundred twelve thousand, four hundred".