109951920 has 240 divisors, whose sum is σ = 421660512. Its totient is φ = 25436160.

The previous prime is 109951913. The next prime is 109951921. The reversal of 109951920 is 29159901.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (109951921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158775 + ... + 159465.

Almost surely, 2^109951920 is an apocalyptic number.

109951920 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 109951920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210830256).

109951920 is an abundant number, since it is smaller than the sum of its proper divisors (311708592).

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

109951920 is a wasteful number, since it uses less digits than its factorization.

109951920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The square root of 109951920 is about 10485.7961071156. The cubic root of 109951920 is about 479.0721659974.

The spelling of 109951920 in words is "one hundred nine million, nine hundred fifty-one thousand, nine hundred twenty".