107993088 has 288 divisors, whose sum is σ = 381588480. Its totient is φ = 29859840.

The previous prime is 107993087. The next prime is 107993101. The reversal of 107993088 is 880399701.

107993088 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107993087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3483633 + ... + 3483663.

It is an arithmetic number, because the mean of its divisors is an integer number (1324960).

Almost surely, 2^107993088 is an apocalyptic number.

107993088 is a gapful number since it is divisible by the number (18) 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 107993088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190794240).

107993088 is an abundant number, since it is smaller than the sum of its proper divisors (273595392).

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

107993088 is an frugal number, since it uses more digits than its factorization.

107993088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 107993088 is about 10391.9722863372. The cubic root of 107993088 is about 476.2101560070.

The spelling of 107993088 in words is "one hundred seven million, nine hundred ninety-three thousand, eighty-eight".