1106166056500 has 24 divisors (see below), whose sum is σ = 2415866668488. Its totient is φ = 442466422400.

The previous prime is 1106166056491. The next prime is 1106166056507. The reversal of 1106166056500 is 56506616011.

It can be written as a sum of positive squares in 4 ways, for example, as 295083684 + 1105870972816 = 17178^2 + 1051604^2 .

It is a super-2 number, since 2×1106166056500² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1106166056500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106166056507) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1106165557 + ... + 1106166556.

It is an arithmetic number, because the mean of its divisors is an integer number (100661111187).

Almost surely, 2^{1106166056500} is an apocalyptic number.

1106166056500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1106166056500 is an abundant number, since it is smaller than the sum of its proper divisors (1309700611988).

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

1106166056500 is a wasteful number, since it uses less digits than its factorization.

1106166056500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212332132 (or 2212332120 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 1106166056500 in words is "one trillion, one hundred six billion, one hundred sixty-six million, fifty-six thousand, five hundred".