1106655570020 has 384 divisors, whose sum is σ = 3157244116992. Its totient is φ = 314653132800.

The previous prime is 1106655569917. The next prime is 1106655570023. The reversal of 1106655570020 is 200755566011.

It is a super-2 number, since 2×1106655570020² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1106655570023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 638577074 + ... + 638578806.

It is an arithmetic number, because the mean of its divisors is an integer number (8221989888).

Almost surely, 2^{1106655570020} is an apocalyptic number.

1106655570020 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 1106655570020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578622058496).

1106655570020 is an abundant number, since it is smaller than the sum of its proper divisors (2050588546972).

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

1106655570020 is a wasteful number, since it uses less digits than its factorization.

1106655570020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 38.

The spelling of 1106655570020 in words is "one trillion, one hundred six billion, six hundred fifty-five million, five hundred seventy thousand, twenty".