1105816338 has 72 divisors (see below), whose sum is σ = 2671014528. Its totient is φ = 330330000.

The previous prime is 1105816297. The next prime is 1105816339. The reversal of 1105816338 is 8336185011.

1105816338 is a `hidden beast` number, since 1 + 10 + 5 + 8 + 1 + 633 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1105816339) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 151063 + ... + 158213.

It is an arithmetic number, because the mean of its divisors is an integer number (37097424).

Almost surely, 2^1105816338 is an apocalyptic number.

1105816338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105816338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335507264).

1105816338 is an abundant number, since it is smaller than the sum of its proper divisors (1565198190).

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

1105816338 is a wasteful number, since it uses less digits than its factorization.

1105816338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7252 (or 7238 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1105816338 is about 33253.8168937041. The cubic root of 1105816338 is about 1034.0963392959.

The spelling of 1105816338 in words is "one billion, one hundred five million, eight hundred sixteen thousand, three hundred thirty-eight".