1106561100 has 36 divisors (see below), whose sum is σ = 3201650984. Its totient is φ = 295082880.

The previous prime is 1106561081. The next prime is 1106561123. The reversal of 1106561100 is 11656011.

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, 1843969 + ... + 1844568.

Almost surely, 2^1106561100 is an apocalyptic number.

1106561100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1106561100 is an abundant number, since it is smaller than the sum of its proper divisors (2095089884).

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

1106561100 is a wasteful number, since it uses less digits than its factorization.

1106561100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688554 (or 3688547 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 1106561100 is about 33265.0131519589. The cubic root of 1106561100 is about 1034.3284401723.

The spelling of 1106561100 in words is "one billion, one hundred six million, five hundred sixty-one thousand, one hundred".