105355334115 has 192 divisors, whose sum is σ = 213044981760. Its totient is φ = 47805603840.

The previous prime is 105355334101. The next prime is 105355334141. The reversal of 105355334115 is 511433553501.

105355334115 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 5 + 533 + 4 + 115 = 666.

It is not a de Polignac number, because 105355334115 - 2⁴ = 105355334099 is a prime.

It is a super-2 number, since 2×105355334115² (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 105355334115.

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 191 ways as a sum of consecutive naturals, for example, 32891104 + ... + 32894306.

It is an arithmetic number, because the mean of its divisors is an integer number (1109609280).

Almost surely, 2^105355334115 is an apocalyptic number.

105355334115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105355334115 is an abundant number, since it is smaller than the sum of its proper divisors (107689647645).

105355334115 is a wasteful number, since it uses less digits than its factorization.

105355334115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354 (or 3351 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

Adding to 105355334115 its reverse (511433553501), we get a palindrome (616788887616).

The spelling of 105355334115 in words is "one hundred five billion, three hundred fifty-five million, three hundred thirty-four thousand, one hundred fifteen".