105973147359 has 6 divisors (see below), whose sum is σ = 153072323976. Its totient is φ = 70648764900.

The previous prime is 105973147339. The next prime is 105973147361. The reversal of 105973147359 is 953741379501.

105973147359 is a `hidden beast` number, since 1 + 0 + 5 + 97 + 31 + 473 + 59 = 666.

It is not a de Polignac number, because 105973147359 - 2²⁰ = 105972098783 is a prime.

It is a super-3 number, since 3×105973147359³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105973147339) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5887397067 + ... + 5887397084.

It is an arithmetic number, because the mean of its divisors is an integer number (25512053996).

Almost surely, 2^105973147359 is an apocalyptic number.

105973147359 is a deficient number, since it is larger than the sum of its proper divisors (47099176617).

105973147359 is a wasteful number, since it uses less digits than its factorization.

105973147359 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11774794157 (or 11774794154 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 105973147359 in words is "one hundred five billion, nine hundred seventy-three million, one hundred forty-seven thousand, three hundred fifty-nine".