106405137073 has 2 divisors, whose sum is σ = 106405137074. Its totient is φ = 106405137072.

The previous prime is 106405137071. The next prime is 106405137079. The reversal of 106405137073 is 370731504601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100326128049 + 6079009024 = 316743^2 + 77968^2 .

It is an emirp because it is prime and its reverse (370731504601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106405137073 - 2¹ = 106405137071 is a prime.

It is a super-2 number, since 2×106405137073² (a number of 23 digits) contains 22 as substring.

Together with 106405137071, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (106405137071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53202568536 + 53202568537.

It is an arithmetic number, because the mean of its divisors is an integer number (53202568537).

Almost surely, 2^106405137073 is an apocalyptic number.

It is an amenable number.

106405137073 is a deficient number, since it is larger than the sum of its proper divisors (1).

106405137073 is an equidigital number, since it uses as much as digits as its factorization.

106405137073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 52920, while the sum is 37.

The spelling of 106405137073 in words is "one hundred six billion, four hundred five million, one hundred thirty-seven thousand, seventy-three".