1106216482860 has 288 divisors, whose sum is σ = 3600103328640. Its totient is φ = 274229784576.

The previous prime is 1106216482849. The next prime is 1106216482871. The reversal of 1106216482860 is 682846126011.

It is a happy number.

1106216482860 is a `hidden beast` number, since 1 + 10 + 621 + 6 + 4 + 8 + 2 + 8 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1106216482849) and next prime (1106216482871).

It is a super-2 number, since 2×1106216482860² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 155167776 + ... + 155174904.

It is an arithmetic number, because the mean of its divisors is an integer number (12500358780).

Almost surely, 2^{1106216482860} is an apocalyptic number.

1106216482860 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 1106216482860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800051664320).

1106216482860 is an abundant number, since it is smaller than the sum of its proper divisors (2493886845780).

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

1106216482860 is a wasteful number, since it uses less digits than its factorization.

1106216482860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8217 (or 8212 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1106216482860 in words is "one trillion, one hundred six billion, two hundred sixteen million, four hundred eighty-two thousand, eight hundred sixty".