1105049682000 has 960 divisors, whose sum is σ = 4434601167360. Its totient is φ = 262753920000.

The previous prime is 1105049681891. The next prime is 1105049682017. The reversal of 1105049682000 is 2869405011.

1105049682000 is a `hidden beast` number, since 110 + 50 + 496 + 8 + 2 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×1105049682000² (a number of 25 digits) contains 22 as substring.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 346300405 + ... + 346303595.

It is an arithmetic number, because the mean of its divisors is an integer number (4619376216).

Almost surely, 2^{1105049682000} is an apocalyptic number.

1105049682000 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 1105049682000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217300583680).

1105049682000 is an abundant number, since it is smaller than the sum of its proper divisors (3329551485360).

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

1105049682000 is a wasteful number, since it uses less digits than its factorization.

1105049682000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298 (or 3265 counting only the distinct ones).

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

The spelling of 1105049682000 in words is "one trillion, one hundred five billion, forty-nine million, six hundred eighty-two thousand".