106214311305 has 96 divisors (see below), whose sum is σ = 205314580224. Its totient is φ = 50519851008.

The previous prime is 106214311303. The next prime is 106214311321. The reversal of 106214311305 is 503113412601.

It is a happy number.

106214311305 is a `hidden beast` number, since 1 + 0 + 621 + 4 + 3 + 1 + 1 + 30 + 5 = 666.

It is not a de Polignac number, because 106214311305 - 2¹ = 106214311303 is a prime.

It is a super-2 number, since 2×106214311305² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106214311303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1854457 + ... + 1910873.

It is an arithmetic number, because the mean of its divisors is an integer number (2138693544).

Almost surely, 2^106214311305 is an apocalyptic number.

106214311305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106214311305 is a deficient number, since it is larger than the sum of its proper divisors (99100268919).

106214311305 is a wasteful number, since it uses less digits than its factorization.

106214311305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56575 (or 56572 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 106214311305 its reverse (503113412601), we get a palindrome (609327723906).

The spelling of 106214311305 in words is "one hundred six billion, two hundred fourteen million, three hundred eleven thousand, three hundred five".