105972917846 has 8 divisors (see below), whose sum is σ = 159847418520. Its totient is φ = 52690445008.

The previous prime is 105972917839. The next prime is 105972917857. The reversal of 105972917846 is 648719279501.

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

It is a super-2 number, since 2×105972917846² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 148006511 + ... + 148007226.

It is an arithmetic number, because the mean of its divisors is an integer number (19980927315).

Almost surely, 2^105972917846 is an apocalyptic number.

105972917846 is a deficient number, since it is larger than the sum of its proper divisors (53874500674).

105972917846 is a wasteful number, since it uses less digits than its factorization.

105972917846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296013918.

The product of its (nonzero) digits is 7620480, while the sum is 59.

The spelling of 105972917846 in words is "one hundred five billion, nine hundred seventy-two million, nine hundred seventeen thousand, eight hundred forty-six".