109200002000 has 80 divisors (see below), whose sum is σ = 264657508752. Its totient is φ = 43578777600.

The previous prime is 109200001991. The next prime is 109200002011. The reversal of 109200002000 is 200002901.

It can be written as a sum of positive squares in 8 ways, for example, as 65901050944 + 43298951056 = 256712^2 + 208084^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 802952 + ... + 929048.

Almost surely, 2^109200002000 is an apocalyptic number.

109200002000 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 109200002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132328754376).

109200002000 is an abundant number, since it is smaller than the sum of its proper divisors (155457506752).

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

109200002000 is a wasteful number, since it uses less digits than its factorization.

109200002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126553 (or 126537 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 109200002000 its reverse (200002901), we get a palindrome (109400004901).

The spelling of 109200002000 in words is "one hundred nine billion, two hundred million, two thousand".