109288416 has 48 divisors (see below), whose sum is σ = 287524944. Its totient is φ = 36347904.

The previous prime is 109288391. The next prime is 109288451. The reversal of 109288416 is 614882901.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 54406 + ... + 56378.

It is an arithmetic number, because the mean of its divisors is an integer number (5990103).

Almost surely, 2^109288416 is an apocalyptic number.

109288416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

109288416 is an abundant number, since it is smaller than the sum of its proper divisors (178236528).

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

109288416 is a wasteful number, since it uses less digits than its factorization.

109288416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 109288416 is about 10454.1100051606. The cubic root of 109288416 is about 478.1065686773.

The spelling of 109288416 in words is "one hundred nine million, two hundred eighty-eight thousand, four hundred sixteen".