106115023813 has 2 divisors, whose sum is σ = 106115023814. Its totient is φ = 106115023812.

The previous prime is 106115023811. The next prime is 106115023853. The reversal of 106115023813 is 318320511601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70088326564 + 36026697249 = 264742^2 + 189807^2 .

It is a cyclic number.

It is not a de Polignac number, because 106115023813 - 2¹ = 106115023811 is a prime.

It is a super-2 number, since 2×106115023813² (a number of 23 digits) contains 22 as substring.

Together with 106115023811, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106115023811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53057511906 + 53057511907.

It is an arithmetic number, because the mean of its divisors is an integer number (53057511907).

Almost surely, 2^106115023813 is an apocalyptic number.

It is an amenable number.

106115023813 is a deficient number, since it is larger than the sum of its proper divisors (1).

106115023813 is an equidigital number, since it uses as much as digits as its factorization.

106115023813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 31.

The spelling of 106115023813 in words is "one hundred six billion, one hundred fifteen million, twenty-three thousand, eight hundred thirteen".