1105920000 has 340 divisors, whose sum is σ = 4094658040. Its totient is φ = 294912000.

The previous prime is 1105919993. The next prime is 1105920029. The reversal of 1105920000 is 295011.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 221183998 + ... + 221184002.

Almost surely, 2^1105920000 is an apocalyptic number.

1105920000 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 1105920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047329020).

1105920000 is an abundant number, since it is smaller than the sum of its proper divisors (2988738040).

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

1105920000 is an frugal number, since it uses more digits than its factorization.

1105920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 1105920000 is about 33255.3755053224. The cubic root of 1105920000 is about 1034.1286512153.

The spelling of 1105920000 in words is "one billion, one hundred five million, nine hundred twenty thousand".