105138541 has 2 divisors, whose sum is σ = 105138542. Its totient is φ = 105138540.

The previous prime is 105138529. The next prime is 105138581. The reversal of 105138541 is 145831501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97101316 + 8037225 = 9854^2 + 2835^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105138541 is a prime.

It is a super-2 number, since 2×105138541² = 22108225607217362, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105138511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52569270 + 52569271.

It is an arithmetic number, because the mean of its divisors is an integer number (52569271).

Almost surely, 2^105138541 is an apocalyptic number.

It is an amenable number.

105138541 is a deficient number, since it is larger than the sum of its proper divisors (1).

105138541 is an equidigital number, since it uses as much as digits as its factorization.

105138541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 105138541 is about 10253.7086461436. The cubic root of 105138541 is about 471.9767970137.

The spelling of 105138541 in words is "one hundred five million, one hundred thirty-eight thousand, five hundred forty-one".