109985792 has 90 divisors (see below), whose sum is σ = 257745222. Its totient is φ = 46792704.

The previous prime is 109985789. The next prime is 109985807. The reversal of 109985792 is 297589901.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 97140736 + 12845056 = 9856^2 + 3584^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 109985792.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 802748 + ... + 802884.

Almost surely, 2^109985792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109985792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128872611).

109985792 is an abundant number, since it is smaller than the sum of its proper divisors (147759430).

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

109985792 is an frugal number, since it uses more digits than its factorization.

109985792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 50.

The square root of 109985792 is about 10487.4111200048. The cubic root of 109985792 is about 479.1213555776.

The spelling of 109985792 in words is "one hundred nine million, nine hundred eighty-five thousand, seven hundred ninety-two".