106520080133 has 16 divisors (see below), whose sum is σ = 114567513600. Its totient is φ = 98732980080.

The previous prime is 106520080109. The next prime is 106520080141. The reversal of 106520080133 is 331080025601.

It is a cyclic number.

It is not a de Polignac number, because 106520080133 - 2²⁶ = 106452971269 is a prime.

It is a super-2 number, since 2×106520080133² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106520080096 and 106520080105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106520080193) 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 in 15 ways as a sum of consecutive naturals, for example, 11360 + ... + 461702.

It is an arithmetic number, because the mean of its divisors is an integer number (7160469600).

Almost surely, 2^106520080133 is an apocalyptic number.

It is an amenable number.

106520080133 is a deficient number, since it is larger than the sum of its proper divisors (8047433467).

106520080133 is a wasteful number, since it uses less digits than its factorization.

106520080133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450632.

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 106520080133 in words is "one hundred six billion, five hundred twenty million, eighty thousand, one hundred thirty-three".