106536305133 has 64 divisors (see below), whose sum is σ = 161944992000. Its totient is φ = 69197856768.

The previous prime is 106536305129. The next prime is 106536305179. The reversal of 106536305133 is 331503635601.

106536305133 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 3 + 630 + 5 + 13 + 3 = 666.

It is not a de Polignac number, because 106536305133 - 2² = 106536305129 is a prime.

It is a super-2 number, since 2×106536305133² (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 (106536305033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114678013 + ... + 114678941.

It is an arithmetic number, because the mean of its divisors is an integer number (2530390500).

Almost surely, 2^106536305133 is an apocalyptic number.

It is an amenable number.

106536305133 is a deficient number, since it is larger than the sum of its proper divisors (55408686867).

106536305133 is a wasteful number, since it uses less digits than its factorization.

106536305133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

The spelling of 106536305133 in words is "one hundred six billion, five hundred thirty-six million, three hundred five thousand, one hundred thirty-three".