1105673778900 has 144 divisors (see below), whose sum is σ = 3556024483200. Its totient is φ = 294722910720.

The previous prime is 1105673778851. The next prime is 1105673778929. The reversal of 1105673778900 is 98773765011.

1105673778900 is a `hidden beast` number, since 1 + 1 + 0 + 567 + 3 + 7 + 78 + 9 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6457596 + ... + 6626604.

Almost surely, 2^{1105673778900} is an apocalyptic number.

1105673778900 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 1105673778900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778012241600).

1105673778900 is an abundant number, since it is smaller than the sum of its proper divisors (2450350704300).

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

1105673778900 is a wasteful number, since it uses less digits than its factorization.

1105673778900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171455 (or 171442 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 1105673778900 in words is "one trillion, one hundred five billion, six hundred seventy-three million, seven hundred seventy-eight thousand, nine hundred".