102042461 has 2 divisors, whose sum is σ = 102042462. Its totient is φ = 102042460.

The previous prime is 102042433. The next prime is 102042463. The reversal of 102042461 is 164240201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73633561 + 28408900 = 8581^2 + 5330^2 .

It is a cyclic number.

It is not a de Polignac number, because 102042461 - 2²⁶ = 34933597 is a prime.

Together with 102042463, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102042463) 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, 51021230 + 51021231.

It is an arithmetic number, because the mean of its divisors is an integer number (51021231).

Almost surely, 2^102042461 is an apocalyptic number.

It is an amenable number.

102042461 is a deficient number, since it is larger than the sum of its proper divisors (1).

102042461 is an equidigital number, since it uses as much as digits as its factorization.

102042461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 102042461 is about 10101.6068523775. The cubic root of 102042461 is about 467.2976977464.

Adding to 102042461 its reverse (164240201), we get a palindrome (266282662).

The spelling of 102042461 in words is "one hundred two million, forty-two thousand, four hundred sixty-one".