109960720 has 80 divisors (see below), whose sum is σ = 267125760. Its totient is φ = 42048000.

The previous prime is 109960717. The next prime is 109960727. The reversal of 109960720 is 27069901.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (109960727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250261 + ... + 250699.

It is an arithmetic number, because the mean of its divisors is an integer number (3339072).

Almost surely, 2^109960720 is an apocalyptic number.

109960720 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 109960720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133562880).

109960720 is an abundant number, since it is smaller than the sum of its proper divisors (157165040).

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

109960720 is a wasteful number, since it uses less digits than its factorization.

109960720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 109960720 is about 10486.2157139742. The cubic root of 109960720 is about 479.0849465006.

The spelling of 109960720 in words is "one hundred nine million, nine hundred sixty thousand, seven hundred twenty".