106085530310856 has 64 divisors (see below), whose sum is σ = 275078616425280. Its totient is φ = 34065463276800.

The previous prime is 106085530310789. The next prime is 106085530310857. The reversal of 106085530310856 is 658013035580601.

It is a super-2 number, since 2×106085530310856² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106085530310799 and 106085530310808.

It is not an unprimeable number, because it can be changed into a prime (106085530310857) 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, 591324606 + ... + 591503981.

It is an arithmetic number, because the mean of its divisors is an integer number (4298103381645).

Almost surely, 2^{106085530310856} is an apocalyptic number.

It is an amenable number.

106085530310856 is an abundant number, since it is smaller than the sum of its proper divisors (168993086114424).

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

106085530310856 is a wasteful number, since it uses less digits than its factorization.

106085530310856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182828734 (or 1182828730 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 51.

The spelling of 106085530310856 in words is "one hundred six trillion, eighty-five billion, five hundred thirty million, three hundred ten thousand, eight hundred fifty-six".