109759680 has 168 divisors, whose sum is σ = 394179552. Its totient is φ = 27979776.

The previous prime is 109759669. The next prime is 109759687. The reversal of 109759680 is 86957901.

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

It is not an unprimeable number, because it can be changed into a prime (109759687) 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 23 ways as a sum of consecutive naturals, for example, 65412 + ... + 67068.

Almost surely, 2^109759680 is an apocalyptic number.

109759680 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 109759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197089776).

109759680 is an abundant number, since it is smaller than the sum of its proper divisors (284419872).

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

109759680 is a wasteful number, since it uses less digits than its factorization.

109759680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 109759680 is about 10476.6254108849. The cubic root of 109759680 is about 478.7927997694.

The spelling of 109759680 in words is "one hundred nine million, seven hundred fifty-nine thousand, six hundred eighty".