109711872 has 120 divisors (see below), whose sum is σ = 327953340. Its totient is φ = 35266560.

The previous prime is 109711853. The next prime is 109711873. The reversal of 109711872 is 278117901.

It can be written as a sum of positive squares in 2 ways, for example, as 108493056 + 1218816 = 10416^2 + 1104^2 .

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

It is not an unprimeable number, because it can be changed into a prime (109711873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133222 + ... + 134042.

Almost surely, 2^109711872 is an apocalyptic number.

109711872 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 109711872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163976670).

109711872 is an abundant number, since it is smaller than the sum of its proper divisors (218241468).

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

109711872 is an equidigital number, since it uses as much as digits as its factorization.

109711872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

The square root of 109711872 is about 10474.3435116479. The cubic root of 109711872 is about 478.7232737820.

The spelling of 109711872 in words is "one hundred nine million, seven hundred eleven thousand, eight hundred seventy-two".