109950120 has 288 divisors, whose sum is σ = 435352320. Its totient is φ = 23950080.

The previous prime is 109950119. The next prime is 109950133. The reversal of 109950120 is 21059901.

It is a happy number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 405585 + ... + 405855.

It is an arithmetic number, because the mean of its divisors is an integer number (1511640).

Almost surely, 2^109950120 is an apocalyptic number.

109950120 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 109950120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217676160).

109950120 is an abundant number, since it is smaller than the sum of its proper divisors (325402200).

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

109950120 is a wasteful number, since it uses less digits than its factorization.

109950120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 109950120 is about 10485.7102763714. The cubic root of 109950120 is about 479.0695517196.

The spelling of 109950120 in words is "one hundred nine million, nine hundred fifty thousand, one hundred twenty".