105396137029 has 2 divisors, whose sum is σ = 105396137030. Its totient is φ = 105396137028.

The previous prime is 105396137003. The next prime is 105396137083. The reversal of 105396137029 is 920731693501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65191876929 + 40204260100 = 255327^2 + 200510^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105396137029 is a prime.

It is a super-2 number, since 2×105396137029² (a number of 23 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 105396137029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105396137629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52698068514 + 52698068515.

It is an arithmetic number, because the mean of its divisors is an integer number (52698068515).

Almost surely, 2^105396137029 is an apocalyptic number.

It is an amenable number.

105396137029 is a deficient number, since it is larger than the sum of its proper divisors (1).

105396137029 is an equidigital number, since it uses as much as digits as its factorization.

105396137029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 306180, while the sum is 46.

The spelling of 105396137029 in words is "one hundred five billion, three hundred ninety-six million, one hundred thirty-seven thousand, twenty-nine".