105060117611129 has 2 divisors, whose sum is σ = 105060117611130. Its totient is φ = 105060117611128.

The previous prime is 105060117611123. The next prime is 105060117611191. The reversal of 105060117611129 is 921116711060501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61345236582400 + 43714881028729 = 7832320^2 + 6611723^2 .

It is a cyclic number.

It is not a de Polignac number, because 105060117611129 - 2¹² = 105060117607033 is a prime.

It is a super-2 number, since 2×105060117611129² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105060117611123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52530058805564 + 52530058805565.

It is an arithmetic number, because the mean of its divisors is an integer number (52530058805565).

Almost surely, 2^{105060117611129} is an apocalyptic number.

It is an amenable number.

105060117611129 is a deficient number, since it is larger than the sum of its proper divisors (1).

105060117611129 is an equidigital number, since it uses as much as digits as its factorization.

105060117611129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22680, while the sum is 41.

The spelling of 105060117611129 in words is "one hundred five trillion, sixty billion, one hundred seventeen million, six hundred eleven thousand, one hundred twenty-nine".