105993372919 has 16 divisors (see below), whose sum is σ = 122347563520. Its totient is φ = 89942775840.

The previous prime is 105993372911. The next prime is 105993372967. The reversal of 105993372919 is 919273399501.

It is a cyclic number.

It is not a de Polignac number, because 105993372919 - 2³ = 105993372911 is a prime.

It is a super-2 number, since 2×105993372919² (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 (105993372911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2641297 + ... + 2681125.

It is an arithmetic number, because the mean of its divisors is an integer number (7646722720).

Almost surely, 2^105993372919 is an apocalyptic number.

105993372919 is a deficient number, since it is larger than the sum of its proper divisors (16354190601).

105993372919 is a wasteful number, since it uses less digits than its factorization.

105993372919 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43630.

The product of its (nonzero) digits is 4133430, while the sum is 58.

The spelling of 105993372919 in words is "one hundred five billion, nine hundred ninety-three million, three hundred seventy-two thousand, nine hundred nineteen".