105156216664 has 16 divisors (see below), whose sum is σ = 201362968800. Its totient is φ = 51459424992.

The previous prime is 105156216629. The next prime is 105156216691. The reversal of 105156216664 is 466612651501.

It is a super-2 number, since 2×105156216664² (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 105156216664.

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, 139835019 + ... + 139835770.

It is an arithmetic number, because the mean of its divisors is an integer number (12585185550).

Almost surely, 2^105156216664 is an apocalyptic number.

It is an amenable number.

105156216664 is a deficient number, since it is larger than the sum of its proper divisors (96206752136).

105156216664 is a wasteful number, since it uses less digits than its factorization.

105156216664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279670842 (or 279670838 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 105156216664 in words is "one hundred five billion, one hundred fifty-six million, two hundred sixteen thousand, six hundred sixty-four".