105738601 has 2 divisors, whose sum is σ = 105738602. Its totient is φ = 105738600.

The previous prime is 105738593. The next prime is 105738649. The reversal of 105738601 is 106837501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70157376 + 35581225 = 8376^2 + 5965^2 .

It is a cyclic number.

It is not a de Polignac number, because 105738601 - 2³ = 105738593 is a prime.

It is a super-2 number, since 2×105738601² = 22361303482874402, which contains 22 as substring.

It is equal to p_6072637 and since 105738601 and 6072637 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 (105738671) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52869300 + 52869301.

It is an arithmetic number, because the mean of its divisors is an integer number (52869301).

Almost surely, 2^105738601 is an apocalyptic number.

It is an amenable number.

105738601 is a deficient number, since it is larger than the sum of its proper divisors (1).

105738601 is an equidigital number, since it uses as much as digits as its factorization.

105738601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 105738601 is about 10282.9276473191. The cubic root of 105738601 is about 472.8730027787.

The spelling of 105738601 in words is "one hundred five million, seven hundred thirty-eight thousand, six hundred one".