107998944 has 48 divisors (see below), whose sum is σ = 286125840. Its totient is φ = 35665920.

The previous prime is 107998859. The next prime is 107998949. The reversal of 107998944 is 449899701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107998949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5304 + ... + 15624.

It is an arithmetic number, because the mean of its divisors is an integer number (5960955).

Almost surely, 2^107998944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107998944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143062920).

107998944 is an abundant number, since it is smaller than the sum of its proper divisors (178126896).

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

107998944 is a wasteful number, since it uses less digits than its factorization.

107998944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10443 (or 10435 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The square root of 107998944 is about 10392.2540384654. The cubic root of 107998944 is about 476.2187634599.

The spelling of 107998944 in words is "one hundred seven million, nine hundred ninety-eight thousand, nine hundred forty-four".