106242640352461 has 2 divisors, whose sum is σ = 106242640352462. Its totient is φ = 106242640352460.

The previous prime is 106242640352437. The next prime is 106242640352477. The reversal of 106242640352461 is 164253046242601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59232556520361 + 47010083832100 = 7696269^2 + 6856390^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106242640352461 is a prime.

It is a super-2 number, since 2×106242640352461² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106242640352411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53121320176230 + 53121320176231.

It is an arithmetic number, because the mean of its divisors is an integer number (53121320176231).

Almost surely, 2^{106242640352461} is an apocalyptic number.

It is an amenable number.

106242640352461 is a deficient number, since it is larger than the sum of its proper divisors (1).

106242640352461 is an equidigital number, since it uses as much as digits as its factorization.

106242640352461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1658880, while the sum is 46.

The spelling of 106242640352461 in words is "one hundred six trillion, two hundred forty-two billion, six hundred forty million, three hundred fifty-two thousand, four hundred sixty-one".