101742761 has 2 divisors, whose sum is σ = 101742762. Its totient is φ = 101742760.

The previous prime is 101742709. The next prime is 101742799. The reversal of 101742761 is 167247101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97515625 + 4227136 = 9875^2 + 2056^2 .

It is a cyclic number.

It is not a de Polignac number, because 101742761 - 2²² = 97548457 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101762761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50871380 + 50871381.

It is an arithmetic number, because the mean of its divisors is an integer number (50871381).

Almost surely, 2^101742761 is an apocalyptic number.

It is an amenable number.

101742761 is a deficient number, since it is larger than the sum of its proper divisors (1).

101742761 is an equidigital number, since it uses as much as digits as its factorization.

101742761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 101742761 is about 10086.7616706255. The cubic root of 101742761 is about 466.8397627147.

Adding to 101742761 its reverse (167247101), we get a palindrome (268989862).

The spelling of 101742761 in words is "one hundred one million, seven hundred forty-two thousand, seven hundred sixty-one".