1105104000 has 1024 divisors, whose sum is σ = 5132574720. Its totient is φ = 202752000.

The previous prime is 1105103983. The next prime is 1105104001. The reversal of 1105104000 is 4015011.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1105104001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48047989 + ... + 48048011.

It is an arithmetic number, because the mean of its divisors is an integer number (5012280).

Almost surely, 2^1105104000 is an apocalyptic number.

1105104000 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 1105104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566287360).

1105104000 is an abundant number, since it is smaller than the sum of its proper divisors (4027470720).

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

1105104000 is a wasteful number, since it uses less digits than its factorization.

1105104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 1105104000 is about 33243.1045481616. The cubic root of 1105104000 is about 1033.8742456500.

Adding to 1105104000 its reverse (4015011), we get a palindrome (1109119011).

The spelling of 1105104000 in words is "one billion, one hundred five million, one hundred four thousand".