109405296 has 480 divisors, whose sum is σ = 443304960. Its totient is φ = 25090560.

The previous prime is 109405279. The next prime is 109405301. The reversal of 109405296 is 692504901.

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

It is a self number, because there is not a number n which added to its sum of digits gives 109405296.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4756741 + ... + 4756763.

It is an arithmetic number, because the mean of its divisors is an integer number (923552).

Almost surely, 2^109405296 is an apocalyptic number.

109405296 is a gapful number since it is divisible by the number (16) 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 109405296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221652480).

109405296 is an abundant number, since it is smaller than the sum of its proper divisors (333899664).

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

109405296 is a wasteful number, since it uses less digits than its factorization.

109405296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 109405296 is about 10459.6986572272. The cubic root of 109405296 is about 478.2769471697.

The spelling of 109405296 in words is "one hundred nine million, four hundred five thousand, two hundred ninety-six".