105993372889 has 8 divisors (see below), whose sum is σ = 106777954080. Its totient is φ = 105209106816.

The previous prime is 105993372883. The next prime is 105993372907. The reversal of 105993372889 is 988273399501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105993372889 - 2⁵ = 105993372857 is a prime.

It is a super-2 number, since 2×105993372889² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105993372889.

It is not an unprimeable number, because it can be changed into a prime (105993372883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 619209 + ... + 771625.

It is an arithmetic number, because the mean of its divisors is an integer number (13347244260).

Almost surely, 2^105993372889 is an apocalyptic number.

It is an amenable number.

105993372889 is a deficient number, since it is larger than the sum of its proper divisors (784581191).

105993372889 is a wasteful number, since it uses less digits than its factorization.

105993372889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157559.

The product of its (nonzero) digits is 29393280, while the sum is 64.

The spelling of 105993372889 in words is "one hundred five billion, nine hundred ninety-three million, three hundred seventy-two thousand, eight hundred eighty-nine".