109686960 has 100 divisors (see below), whose sum is σ = 380981568. Its totient is φ = 29248128.

The previous prime is 109686947. The next prime is 109686989. The reversal of 109686960 is 69686901.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1984 + ... + 14943.

Almost surely, 2^109686960 is an apocalyptic number.

109686960 is a gapful number since it is divisible by the number (10) 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 109686960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190490784).

109686960 is an abundant number, since it is smaller than the sum of its proper divisors (271294608).

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

109686960 is a wasteful number, since it uses less digits than its factorization.

109686960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16952 (or 16937 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 109686960 is about 10473.1542526595. The cubic root of 109686960 is about 478.6870368742.

The spelling of 109686960 in words is "one hundred nine million, six hundred eighty-six thousand, nine hundred sixty".