106680188133 has 48 divisors (see below), whose sum is σ = 164786232000. Its totient is φ = 68204687040.

The previous prime is 106680188113. The next prime is 106680188149. The reversal of 106680188133 is 331881086601.

It is not a de Polignac number, because 106680188133 - 2²⁶ = 106613079269 is a prime.

It is a super-2 number, since 2×106680188133² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106680188113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3367578 + ... + 3399108.

It is an arithmetic number, because the mean of its divisors is an integer number (3433046500).

Almost surely, 2^106680188133 is an apocalyptic number.

It is an amenable number.

106680188133 is a deficient number, since it is larger than the sum of its proper divisors (58106043867).

106680188133 is a wasteful number, since it uses less digits than its factorization.

106680188133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31747 (or 31712 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 106680188133 in words is "one hundred six billion, six hundred eighty million, one hundred eighty-eight thousand, one hundred thirty-three".