106613073589129 has 2 divisors, whose sum is σ = 106613073589130. Its totient is φ = 106613073589128.

The previous prime is 106613073589117. The next prime is 106613073589177. The reversal of 106613073589129 is 921985370316601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70587689115904 + 36025384473225 = 8401648^2 + 6002115^2 .

It is a cyclic number.

It is not a de Polignac number, because 106613073589129 - 2⁹ = 106613073588617 is a prime.

It is a super-2 number, since 2×106613073589129² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106613073589109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53306536794564 + 53306536794565.

It is an arithmetic number, because the mean of its divisors is an integer number (53306536794565).

Almost surely, 2^{106613073589129} is an apocalyptic number.

It is an amenable number.

106613073589129 is a deficient number, since it is larger than the sum of its proper divisors (1).

106613073589129 is an equidigital number, since it uses as much as digits as its factorization.

106613073589129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14696640, while the sum is 61.

The spelling of 106613073589129 in words is "one hundred six trillion, six hundred thirteen billion, seventy-three million, five hundred eighty-nine thousand, one hundred twenty-nine".