106348133886337 has 24 divisors (see below), whose sum is σ = 126730725744672. Its totient is φ = 88930632168000.

The previous prime is 106348133886193. The next prime is 106348133886359. The reversal of 106348133886337 is 733688331843601.

It is a happy number.

It is not a de Polignac number, because 106348133886337 - 2¹⁵ = 106348133853569 is a prime.

It is a super-2 number, since 2×106348133886337² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106348133856337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118185238 + ... + 119081680.

It is an arithmetic number, because the mean of its divisors is an integer number (5280446906028).

Almost surely, 2^{106348133886337} is an apocalyptic number.

It is an amenable number.

106348133886337 is a deficient number, since it is larger than the sum of its proper divisors (20382591858335).

106348133886337 is an equidigital number, since it uses as much as digits as its factorization.

106348133886337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955549 (or 955542 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 64.

The spelling of 106348133886337 in words is "one hundred six trillion, three hundred forty-eight billion, one hundred thirty-three million, eight hundred eighty-six thousand, three hundred thirty-seven".