107993832 has 64 divisors (see below), whose sum is σ = 290856960. Its totient is φ = 33316800.

The previous prime is 107993819. The next prime is 107993833. The reversal of 107993832 is 238399701.

It is not an unprimeable number, because it can be changed into a prime (107993833) 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 15 ways as a sum of consecutive naturals, for example, 13957 + ... + 20267.

It is an arithmetic number, because the mean of its divisors is an integer number (4544640).

Almost surely, 2^107993832 is an apocalyptic number.

107993832 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 107993832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145428480).

107993832 is an abundant number, since it is smaller than the sum of its proper divisors (182863128).

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

107993832 is a wasteful number, since it uses less digits than its factorization.

107993832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6374 (or 6370 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 107993832 is about 10392.0080831377. The cubic root of 107993832 is about 476.2112495941.

The spelling of 107993832 in words is "one hundred seven million, nine hundred ninety-three thousand, eight hundred thirty-two".