109685772 has 96 divisors (see below), whose sum is σ = 336268800. Its totient is φ = 30252096.

The previous prime is 109685759. The next prime is 109685773. The reversal of 109685772 is 277586901.

109685772 is a `hidden beast` number, since 10 + 9 + 68 + 577 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (109685773) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19423 + ... + 24425.

It is an arithmetic number, because the mean of its divisors is an integer number (3502800).

Almost surely, 2^109685772 is an apocalyptic number.

109685772 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 109685772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168134400).

109685772 is an abundant number, since it is smaller than the sum of its proper divisors (226583028).

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

109685772 is a wasteful number, since it uses less digits than its factorization.

109685772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5052 (or 5044 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 109685772 is about 10473.0975360683. The cubic root of 109685772 is about 478.6853086765.

It can be divided in two parts, 1096 and 85772, that added together give a palindrome (86868).

The spelling of 109685772 in words is "one hundred nine million, six hundred eighty-five thousand, seven hundred seventy-two".