105993372888 has 96 divisors (see below), whose sum is σ = 310934791440. Its totient is φ = 32424779520.

The previous prime is 105993372883. The next prime is 105993372907. The reversal of 105993372888 is 888273399501.

105993372888 is a `hidden beast` number, since 1 + 0 + 599 + 3 + 37 + 2 + 8 + 8 + 8 = 666.

It is a super-2 number, since 2×105993372888² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105993372883) 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 23 ways as a sum of consecutive naturals, for example, 165358 + ... + 489213.

Almost surely, 2^105993372888 is an apocalyptic number.

105993372888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105993372888 is an abundant number, since it is smaller than the sum of its proper divisors (204941418552).

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

105993372888 is a wasteful number, since it uses less digits than its factorization.

105993372888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654769 (or 654762 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 105993372888 in words is "one hundred five billion, nine hundred ninety-three million, three hundred seventy-two thousand, eight hundred eighty-eight".