1100983104 has 420 divisors, whose sum is σ = 3845376612. Its totient is φ = 308551680.

The previous prime is 1100983099. The next prime is 1100983109. The reversal of 1100983104 is 4013890011.

It is an interprime number because it is at equal distance from previous prime (1100983099) and next prime (1100983109).

It can be written as a sum of positive squares in 2 ways, for example, as 498182400 + 602800704 = 22320^2 + 24552^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100983109) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 35515569 + ... + 35515599.

Almost surely, 2^1100983104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100983104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922688306).

1100983104 is an abundant number, since it is smaller than the sum of its proper divisors (2744393508).

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

1100983104 is a wasteful number, since it uses less digits than its factorization.

1100983104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1100983104 is about 33181.0654440149. The cubic root of 1100983104 is about 1032.5875507684.

The spelling of 1100983104 in words is "one billion, one hundred million, nine hundred eighty-three thousand, one hundred four".