105432101 has 2 divisors, whose sum is σ = 105432102. Its totient is φ = 105432100.

The previous prime is 105432077. The next prime is 105432109. The reversal of 105432101 is 101234501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53217025 + 52215076 = 7295^2 + 7226^2 .

It is a cyclic number.

It is not a de Polignac number, because 105432101 - 2⁶ = 105432037 is a prime.

It is a super-2 number, since 2×105432101² = 22231855842548402, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105432101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105432109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52716050 + 52716051.

It is an arithmetic number, because the mean of its divisors is an integer number (52716051).

Almost surely, 2^105432101 is an apocalyptic number.

It is an amenable number.

105432101 is a deficient number, since it is larger than the sum of its proper divisors (1).

105432101 is an equidigital number, since it uses as much as digits as its factorization.

105432101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 105432101 is about 10268.0134884991. The cubic root of 105432101 is about 472.4156616265.

Adding to 105432101 its reverse (101234501), we get a palindrome (206666602).

The spelling of 105432101 in words is "one hundred five million, four hundred thirty-two thousand, one hundred one".