105056101 has 2 divisors, whose sum is σ = 105056102. Its totient is φ = 105056100.

The previous prime is 105056099. The next prime is 105056137. The reversal of 105056101 is 101650501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101909025 + 3147076 = 10095^2 + 1774^2 .

It is a cyclic number.

It is not a de Polignac number, because 105056101 - 2¹ = 105056099 is a prime.

It is a super-2 number, since 2×105056101² = 22073568714644402, which contains 22 as substring.

Together with 105056099, it forms a pair of twin primes.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105056191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52528050 + 52528051.

It is an arithmetic number, because the mean of its divisors is an integer number (52528051).

Almost surely, 2^105056101 is an apocalyptic number.

It is an amenable number.

105056101 is a deficient number, since it is larger than the sum of its proper divisors (1).

105056101 is an equidigital number, since it uses as much as digits as its factorization.

105056101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 150, while the sum is 19.

The square root of 105056101 is about 10249.6878489054. The cubic root of 105056101 is about 471.8534044530.

The spelling of 105056101 in words is "one hundred five million, fifty-six thousand, one hundred one".