1106115216 has 80 divisors (see below), whose sum is σ = 3051471360. Its totient is φ = 344494080.

The previous prime is 1106115209. The next prime is 1106115223. The reversal of 1106115216 is 6125116011.

1106115216 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1106115209) and next prime (1106115223).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30336 + ... + 55968.

It is an arithmetic number, because the mean of its divisors is an integer number (38143392).

Almost surely, 2^1106115216 is an apocalyptic number.

1106115216 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 1106115216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525735680).

1106115216 is an abundant number, since it is smaller than the sum of its proper divisors (1945356144).

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

1106115216 is a wasteful number, since it uses less digits than its factorization.

1106115216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25704 (or 25698 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 1106115216 is about 33258.3104802394. The cubic root of 1106115216 is about 1034.1894954540.

The spelling of 1106115216 in words is "one billion, one hundred six million, one hundred fifteen thousand, two hundred sixteen".