109791072 has 96 divisors (see below), whose sum is σ = 324293760. Its totient is φ = 36132480.

The previous prime is 109791067. The next prime is 109791089. The reversal of 109791072 is 270197901.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70947 + ... + 72477.

It is an arithmetic number, because the mean of its divisors is an integer number (3378060).

Almost surely, 2^109791072 is an apocalyptic number.

109791072 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 109791072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162146880).

109791072 is an abundant number, since it is smaller than the sum of its proper divisors (214502688).

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

109791072 is a wasteful number, since it uses less digits than its factorization.

109791072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 109791072 is about 10478.1234961228. The cubic root of 109791072 is about 478.8384413957.

The spelling of 109791072 in words is "one hundred nine million, seven hundred ninety-one thousand, seventy-two".