1105904400 has 240 divisors, whose sum is σ = 3915713664. Its totient is φ = 265379840.

The previous prime is 1105904399. The next prime is 1105904411. The reversal of 1105904400 is 44095011.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 468022 + ... + 470378.

Almost surely, 2^1105904400 is an apocalyptic number.

1105904400 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 1105904400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957856832).

1105904400 is an abundant number, since it is smaller than the sum of its proper divisors (2809809264).

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

1105904400 is a wasteful number, since it uses less digits than its factorization.

1105904400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1105904400 is about 33255.1409559485. The cubic root of 1105904400 is about 1034.1237887530.

Adding to 1105904400 its reverse (44095011), we get a palindrome (1149999411).

The spelling of 1105904400 in words is "one billion, one hundred five million, nine hundred four thousand, four hundred".