105601006105051 has 2 divisors, whose sum is σ = 105601006105052. Its totient is φ = 105601006105050.

The previous prime is 105601006104961. The next prime is 105601006105087. The reversal of 105601006105051 is 150501600106501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105601006105051 - 2²¹ = 105601004007899 is a prime.

It is a super-2 number, since 2×105601006105051² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105601006109051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52800503052525 + 52800503052526.

It is an arithmetic number, because the mean of its divisors is an integer number (52800503052526).

Almost surely, 2^{105601006105051} is an apocalyptic number.

105601006105051 is a deficient number, since it is larger than the sum of its proper divisors (1).

105601006105051 is an equidigital number, since it uses as much as digits as its factorization.

105601006105051 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4500, while the sum is 31.

The spelling of 105601006105051 in words is "one hundred five trillion, six hundred one billion, six million, one hundred five thousand, fifty-one".