109961120 has 48 divisors (see below), whose sum is σ = 261287208. Its totient is φ = 43729920.

The previous prime is 109961119. The next prime is 109961129. The reversal of 109961120 is 21169901.

It can be written as a sum of positive squares in 4 ways, for example, as 19254544 + 90706576 = 4388^2 + 9524^2 .

It is not an unprimeable number, because it can be changed into a prime (109961129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27062 + ... + 30858.

Almost surely, 2^109961120 is an apocalyptic number.

109961120 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 109961120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130643604).

109961120 is an abundant number, since it is smaller than the sum of its proper divisors (151326088).

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

109961120 is a wasteful number, since it uses less digits than its factorization.

109961120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3993 (or 3985 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 29.

The square root of 109961120 is about 10486.2347866143. The cubic root of 109961120 is about 479.0855274164.

The spelling of 109961120 in words is "one hundred nine million, nine hundred sixty-one thousand, one hundred twenty".