109089936 has 80 divisors (see below), whose sum is σ = 317886400. Its totient is φ = 35811072.

The previous prime is 109089931. The next prime is 109089973. The reversal of 109089936 is 639980901.

It is a super-2 number, since 2×109089936² = 23801228272968192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 109089891 and 109089900.

It is not an unprimeable number, because it can be changed into a prime (109089931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27060 + ... + 30828.

It is an arithmetic number, because the mean of its divisors is an integer number (3973580).

Almost surely, 2^109089936 is an apocalyptic number.

109089936 is a gapful number since it is divisible by the number (16) 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 109089936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158943200).

109089936 is an abundant number, since it is smaller than the sum of its proper divisors (208796464).

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

109089936 is a wasteful number, since it uses less digits than its factorization.

109089936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3853 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 109089936 is about 10444.6127740573. The cubic root of 109089936 is about 477.8169616002.

The spelling of 109089936 in words is "one hundred nine million, eighty-nine thousand, nine hundred thirty-six".