1106137368 has 144 divisors (see below), whose sum is σ = 3690091080. Its totient is φ = 297432576.

The previous prime is 1106137349. The next prime is 1106137379. The reversal of 1106137368 is 8637316011.

1106137368 is a `hidden beast` number, since 1 + 1 + 0 + 613 + 7 + 36 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50755 + ... + 69197.

Almost surely, 2^1106137368 is an apocalyptic number.

1106137368 is a gapful number since it is divisible by the number (18) 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 1106137368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845045540).

1106137368 is an abundant number, since it is smaller than the sum of its proper divisors (2583953712).

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

1106137368 is a wasteful number, since it uses less digits than its factorization.

1106137368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18486 (or 18472 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1106137368 is about 33258.6435081168. The cubic root of 1106137368 is about 1034.1963992595.

The spelling of 1106137368 in words is "one billion, one hundred six million, one hundred thirty-seven thousand, three hundred sixty-eight".