105993372381 has 8 divisors (see below), whose sum is σ = 152195611680. Its totient is φ = 65226690672.

The previous prime is 105993372377. The next prime is 105993372413. The reversal of 105993372381 is 183273399501.

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

It is not a de Polignac number, because 105993372381 - 2² = 105993372377 is a prime.

It is a super-2 number, since 2×105993372381² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105993372361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1358889351 + ... + 1358889428.

It is an arithmetic number, because the mean of its divisors is an integer number (19024451460).

Almost surely, 2^105993372381 is an apocalyptic number.

It is an amenable number.

105993372381 is a deficient number, since it is larger than the sum of its proper divisors (46202239299).

105993372381 is a wasteful number, since it uses less digits than its factorization.

105993372381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717778795.

The product of its (nonzero) digits is 1224720, while the sum is 51.

The spelling of 105993372381 in words is "one hundred five billion, nine hundred ninety-three million, three hundred seventy-two thousand, three hundred eighty-one".