105828957364665 has 256 divisors, whose sum is σ = 189152837314560. Its totient is φ = 50336563200000.

The previous prime is 105828957364661. The next prime is 105828957364693. The reversal of 105828957364665 is 566463759828501.

It is not a de Polignac number, because 105828957364665 - 2² = 105828957364661 is a prime.

It is a super-2 number, since 2×105828957364665² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105828957364661) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 55670150215 + ... + 55670152115.

It is an arithmetic number, because the mean of its divisors is an integer number (738878270760).

It is a 1-persistent number, because it is pandigital, but 2⋅105828957364665 = 211657914729330 is not.

Almost surely, 2^{105828957364665} is an apocalyptic number.

105828957364665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105828957364665 is a deficient number, since it is larger than the sum of its proper divisors (83323879949895).

105828957364665 is a wasteful number, since it uses less digits than its factorization.

105828957364665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3316.

The product of its (nonzero) digits is 2612736000, while the sum is 75.

The spelling of 105828957364665 in words is "one hundred five trillion, eight hundred twenty-eight billion, nine hundred fifty-seven million, three hundred sixty-four thousand, six hundred sixty-five".