105833000827 has 2 divisors, whose sum is σ = 105833000828. Its totient is φ = 105833000826.

The previous prime is 105833000783. The next prime is 105833000843. The reversal of 105833000827 is 728000338501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105833000827 - 2²³ = 105824612219 is a prime.

It is a super-2 number, since 2×105833000827² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105833000857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52916500413 + 52916500414.

It is an arithmetic number, because the mean of its divisors is an integer number (52916500414).

Almost surely, 2^105833000827 is an apocalyptic number.

105833000827 is a deficient number, since it is larger than the sum of its proper divisors (1).

105833000827 is an equidigital number, since it uses as much as digits as its factorization.

105833000827 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 105833000827 in words is "one hundred five billion, eight hundred thirty-three million, eight hundred twenty-seven", and thus it is an aban number.