109841952 has 192 divisors, whose sum is σ = 335301120. Its totient is φ = 31180800.

The previous prime is 109841933. The next prime is 109841957. The reversal of 109841952 is 259148901.

It is a self number, because there is not a number n which added to its sum of digits gives 109841952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109841957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1861699 + ... + 1861757.

It is an arithmetic number, because the mean of its divisors is an integer number (1746360).

Almost surely, 2^109841952 is an apocalyptic number.

109841952 is a gapful number since it is divisible by the number (12) 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 109841952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167650560).

109841952 is an abundant number, since it is smaller than the sum of its proper divisors (225459168).

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

109841952 is a wasteful number, since it uses less digits than its factorization.

109841952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The square root of 109841952 is about 10480.5511305465. The cubic root of 109841952 is about 478.9123986459.

The spelling of 109841952 in words is "one hundred nine million, eight hundred forty-one thousand, nine hundred fifty-two".