105680051 has 2 divisors, whose sum is σ = 105680052. Its totient is φ = 105680050.

The previous prime is 105680027. The next prime is 105680053. The reversal of 105680051 is 150086501.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105680051 is a prime.

It is a super-2 number, since 2×105680051² = 22336546358725202, which contains 22 as substring.

Together with 105680053, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105680051.

It is not a weakly prime, because it can be changed into another prime (105680053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52840025 + 52840026.

It is an arithmetic number, because the mean of its divisors is an integer number (52840026).

Almost surely, 2^105680051 is an apocalyptic number.

105680051 is a deficient number, since it is larger than the sum of its proper divisors (1).

105680051 is an equidigital number, since it uses as much as digits as its factorization.

105680051 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1200, while the sum is 26.

The square root of 105680051 is about 10280.0803012428. The cubic root of 105680051 is about 472.7857062887.

The spelling of 105680051 in words is "one hundred five million, six hundred eighty thousand, fifty-one".