105305825830531 has 2 divisors, whose sum is σ = 105305825830532. Its totient is φ = 105305825830530.

The previous prime is 105305825830511. The next prime is 105305825830537. The reversal of 105305825830531 is 135038528503501.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105305825830531 is a prime.

It is a super-2 number, since 2×105305825830531² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105305825830537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52652912915265 + 52652912915266.

It is an arithmetic number, because the mean of its divisors is an integer number (52652912915266).

Almost surely, 2^{105305825830531} is an apocalyptic number.

105305825830531 is a deficient number, since it is larger than the sum of its proper divisors (1).

105305825830531 is an equidigital number, since it uses as much as digits as its factorization.

105305825830531 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2160000, while the sum is 49.

The spelling of 105305825830531 in words is "one hundred five trillion, three hundred five billion, eight hundred twenty-five million, eight hundred thirty thousand, five hundred thirty-one".