105416021741 has 2 divisors, whose sum is σ = 105416021742. Its totient is φ = 105416021740.

The previous prime is 105416021681. The next prime is 105416021743. The reversal of 105416021741 is 147120614501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87122377225 + 18293644516 = 295165^2 + 135254^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105416021741 is a prime.

It is a super-2 number, since 2×105416021741² (a number of 23 digits) contains 22 as substring.

Together with 105416021743, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105416021698 and 105416021707.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105416021743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52708010870 + 52708010871.

It is an arithmetic number, because the mean of its divisors is an integer number (52708010871).

Almost surely, 2^105416021741 is an apocalyptic number.

It is an amenable number.

105416021741 is a deficient number, since it is larger than the sum of its proper divisors (1).

105416021741 is an equidigital number, since it uses as much as digits as its factorization.

105416021741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 32.

The spelling of 105416021741 in words is "one hundred five billion, four hundred sixteen million, twenty-one thousand, seven hundred forty-one".