109966404 has 72 divisors (see below), whose sum is σ = 284286240. Its totient is φ = 32966912.

The previous prime is 109966403. The next prime is 109966457. The reversal of 109966404 is 404669901.

It is a super-2 number, since 2×109966404² = 24185220017382432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (109966403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107407 + ... + 108425.

It is an arithmetic number, because the mean of its divisors is an integer number (3948420).

Almost surely, 2^109966404 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 109966404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142143120).

109966404 is an abundant number, since it is smaller than the sum of its proper divisors (174319836).

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

109966404 is a wasteful number, since it uses less digits than its factorization.

109966404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 109966404 is about 10486.4867329340. The cubic root of 109966404 is about 479.0932011813.

The spelling of 109966404 in words is "one hundred nine million, nine hundred sixty-six thousand, four hundred four".