105065816256 has 56 divisors (see below), whose sum is σ = 308874048240. Its totient is φ = 35021938176.

The previous prime is 105065816213. The next prime is 105065816299. The reversal of 105065816256 is 652618560501.

105065816256 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 6 + 581 + 62 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (105065816213) and next prime (105065816299).

It is a super-2 number, since 2×105065816256² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30399261 + ... + 30402716.

Almost surely, 2^105065816256 is an apocalyptic number.

105065816256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105065816256 is an abundant number, since it is smaller than the sum of its proper divisors (203808231984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105065816256 is an equidigital number, since it uses as much as digits as its factorization.

105065816256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60801998 (or 60801982 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 105065816256 in words is "one hundred five billion, sixty-five million, eight hundred sixteen thousand, two hundred fifty-six".