105129361 has 2 divisors, whose sum is σ = 105129362. Its totient is φ = 105129360.

The previous prime is 105129359. The next prime is 105129373. The reversal of 105129361 is 163921501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64883025 + 40246336 = 8055^2 + 6344^2 .

It is an emirp because it is prime and its reverse (163921501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105129361 - 2¹ = 105129359 is a prime.

It is a super-2 number, since 2×105129361² = 22104365088536642, which contains 22 as substring.

Together with 105129359, it forms a pair of twin primes.

It is equal to p_6039712 and since 105129361 and 6039712 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (105129331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52564680 + 52564681.

It is an arithmetic number, because the mean of its divisors is an integer number (52564681).

Almost surely, 2^105129361 is an apocalyptic number.

It is an amenable number.

105129361 is a deficient number, since it is larger than the sum of its proper divisors (1).

105129361 is an equidigital number, since it uses as much as digits as its factorization.

105129361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 105129361 is about 10253.2609934596. The cubic root of 105129361 is about 471.9630599861.

The spelling of 105129361 in words is "one hundred five million, one hundred twenty-nine thousand, three hundred sixty-one".