106274418127601 has 2 divisors, whose sum is σ = 106274418127602. Its totient is φ = 106274418127600.

The previous prime is 106274418127571. The next prime is 106274418127697. The reversal of 106274418127601 is 106721814472601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94941930754225 + 11332487373376 = 9743815^2 + 3366376^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106274418127601 is a prime.

It is a super-2 number, since 2×106274418127601² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106274418127601.

It is not a weakly prime, because it can be changed into another prime (106274418121601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53137209063800 + 53137209063801.

It is an arithmetic number, because the mean of its divisors is an integer number (53137209063801).

Almost surely, 2^{106274418127601} is an apocalyptic number.

It is an amenable number.

106274418127601 is a deficient number, since it is larger than the sum of its proper divisors (1).

106274418127601 is an equidigital number, since it uses as much as digits as its factorization.

106274418127601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 903168, while the sum is 50.

The spelling of 106274418127601 in words is "one hundred six trillion, two hundred seventy-four billion, four hundred eighteen million, one hundred twenty-seven thousand, six hundred one".