1106340873300 has 1728 divisors, whose sum is σ = 4385464312320. Its totient is φ = 240540917760.

The previous prime is 1106340873289. The next prime is 1106340873301. The reversal of 1106340873300 is 33780436011.

1106340873300 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 340 + 8 + 7 + 3 + 300 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106340873301) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 20874356074 + ... + 20874356126.

It is an arithmetic number, because the mean of its divisors is an integer number (2537884440).

Almost surely, 2^{1106340873300} is an apocalyptic number.

1106340873300 is a gapful number since it is divisible by the number (10) 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 1106340873300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192732156160).

1106340873300 is an abundant number, since it is smaller than the sum of its proper divisors (3279123439020).

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

1106340873300 is a wasteful number, since it uses less digits than its factorization.

1106340873300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 1106340873300 in words is "one trillion, one hundred six billion, three hundred forty million, eight hundred seventy-three thousand, three hundred".