1105200096 has 576 divisors, whose sum is σ = 4169926656. Its totient is φ = 251596800.

The previous prime is 1105200091. The next prime is 1105200097. The reversal of 1105200096 is 6900025011.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105200091) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20852806 + ... + 20852858.

It is an arithmetic number, because the mean of its divisors is an integer number (7239456).

Almost surely, 2^1105200096 is an apocalyptic number.

1105200096 is a gapful number since it is divisible by the number (16) 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 1105200096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084963328).

1105200096 is an abundant number, since it is smaller than the sum of its proper divisors (3064726560).

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

1105200096 is a wasteful number, since it uses less digits than its factorization.

1105200096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 1105200096 is about 33244.5498691139. The cubic root of 1105200096 is about 1033.9042121508.

The spelling of 1105200096 in words is "one billion, one hundred five million, two hundred thousand, ninety-six".