1106900442900 has 576 divisors, whose sum is σ = 4266980229120. Its totient is φ = 240822720000.

The previous prime is 1106900442863. The next prime is 1106900442941. The reversal of 1106900442900 is 92440096011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35724415 + ... + 35755385.

Almost surely, 2^{1106900442900} is an apocalyptic number.

1106900442900 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 1106900442900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133490114560).

1106900442900 is an abundant number, since it is smaller than the sum of its proper divisors (3160079786220).

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

1106900442900 is a wasteful number, since it uses less digits than its factorization.

1106900442900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31093 (or 31080 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 1106900442900 in words is "one trillion, one hundred six billion, nine hundred million, four hundred forty-two thousand, nine hundred".