109962944 has 112 divisors (see below), whose sum is σ = 273100800. Its totient is φ = 42771456.

The previous prime is 109962907. The next prime is 109962947. The reversal of 109962944 is 449269901.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 109962895 and 109962904.

It is not an unprimeable number, because it can be changed into a prime (109962947) 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, 459977 + ... + 460215.

It is an arithmetic number, because the mean of its divisors is an integer number (2438400).

Almost surely, 2^109962944 is an apocalyptic number.

109962944 is a gapful number since it is divisible by the number (14) 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 109962944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136550400).

109962944 is an abundant number, since it is smaller than the sum of its proper divisors (163137856).

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

109962944 is a wasteful number, since it uses less digits than its factorization.

109962944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 44.

The square root of 109962944 is about 10486.3217574133. The cubic root of 109962944 is about 479.0881763744.

The spelling of 109962944 in words is "one hundred nine million, nine hundred sixty-two thousand, nine hundred forty-four".