105101641 has 2 divisors, whose sum is σ = 105101642. Its totient is φ = 105101640.

The previous prime is 105101629. The next prime is 105101669. The reversal of 105101641 is 146101501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99201600 + 5900041 = 9960^2 + 2429^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105101641 is a prime.

It is a super-2 number, since 2×105101641² = 22092709881785762, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105101621) 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, 52550820 + 52550821.

It is an arithmetic number, because the mean of its divisors is an integer number (52550821).

Almost surely, 2^105101641 is an apocalyptic number.

It is an amenable number.

105101641 is a deficient number, since it is larger than the sum of its proper divisors (1).

105101641 is an equidigital number, since it uses as much as digits as its factorization.

105101641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 105101641 is about 10251.9091392774. The cubic root of 105101641 is about 471.9215746962.

The spelling of 105101641 in words is "one hundred five million, one hundred one thousand, six hundred forty-one".