1106056060100 has 36 divisors (see below), whose sum is σ = 2423905451268. Its totient is φ = 438042000000.

The previous prime is 1106056060063. The next prime is 1106056060117. The reversal of 1106056060100 is 10606506011.

It can be written as a sum of positive squares in 6 ways, for example, as 177407755204 + 928648304896 = 421198^2 + 963664^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1106056060100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54745151 + ... + 54765350.

Almost surely, 2^{1106056060100} is an apocalyptic number.

1106056060100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1106056060100 is an abundant number, since it is smaller than the sum of its proper divisors (1317849391168).

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

1106056060100 is a wasteful number, since it uses less digits than its factorization.

1106056060100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109510616 (or 109510609 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The spelling of 1106056060100 in words is "one trillion, one hundred six billion, fifty-six million, sixty thousand, one hundred".