1106955069900 has 144 divisors (see below), whose sum is σ = 3372704966400. Its totient is φ = 279763165440.

The previous prime is 1106955069851. The next prime is 1106955069911. The reversal of 1106955069900 is 99605596011.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16191 + ... + 1488009.

Almost surely, 2^{1106955069900} is an apocalyptic number.

1106955069900 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 1106955069900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686352483200).

1106955069900 is an abundant number, since it is smaller than the sum of its proper divisors (2265749896500).

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

1106955069900 is a wasteful number, since it uses less digits than its factorization.

1106955069900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471968 (or 1471961 counting only the distinct ones).

The product of its (nonzero) digits is 656100, while the sum is 51.

The spelling of 1106955069900 in words is "one trillion, one hundred six billion, nine hundred fifty-five million, sixty-nine thousand, nine hundred".