109113312 has 192 divisors, whose sum is σ = 370137600. Its totient is φ = 27310080.

The previous prime is 109113307. The next prime is 109113331. The reversal of 109113312 is 213311901.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 214114 + ... + 214622.

It is an arithmetic number, because the mean of its divisors is an integer number (1927800).

Almost surely, 2^109113312 is an apocalyptic number.

109113312 is a gapful number since it is divisible by the number (12) 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 109113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185068800).

109113312 is an abundant number, since it is smaller than the sum of its proper divisors (261024288).

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

109113312 is a wasteful number, since it uses less digits than its factorization.

109113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 109113312 is about 10445.7317599104. The cubic root of 109113312 is about 477.8510883400.

The spelling of 109113312 in words is "one hundred nine million, one hundred thirteen thousand, three hundred twelve".