105950255801629 has 2 divisors, whose sum is σ = 105950255801630. Its totient is φ = 105950255801628.

The previous prime is 105950255801617. The next prime is 105950255801641. The reversal of 105950255801629 is 926108552059501.

It is a balanced prime because it is at equal distance from previous prime (105950255801617) and next prime (105950255801641).

It can be written as a sum of positive squares in only one way, i.e., 72415385536729 + 33534870264900 = 8509723^2 + 5790930^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105950255801629 is a prime.

It is a super-2 number, since 2×105950255801629² (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 (105950255801609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52975127900814 + 52975127900815.

It is an arithmetic number, because the mean of its divisors is an integer number (52975127900815).

Almost surely, 2^{105950255801629} is an apocalyptic number.

It is an amenable number.

105950255801629 is a deficient number, since it is larger than the sum of its proper divisors (1).

105950255801629 is an equidigital number, since it uses as much as digits as its factorization.

105950255801629 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9720000, while the sum is 58.

The spelling of 105950255801629 in words is "one hundred five trillion, nine hundred fifty billion, two hundred fifty-five million, eight hundred one thousand, six hundred twenty-nine".