109989665100 has 720 divisors, whose sum is σ = 439791726528. Its totient is φ = 23204413440.

The previous prime is 109989665089. The next prime is 109989665171. The reversal of 109989665100 is 1566989901.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 51085624 + ... + 51087776.

Almost surely, 2^109989665100 is an apocalyptic number.

109989665100 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 109989665100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219895863264).

109989665100 is an abundant number, since it is smaller than the sum of its proper divisors (329802061428).

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

109989665100 is a wasteful number, since it uses less digits than its factorization.

109989665100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 109989665100 in words is "one hundred nine billion, nine hundred eighty-nine million, six hundred sixty-five thousand, one hundred".