106225040133 has 24 divisors (see below), whose sum is σ = 154068657600. Its totient is φ = 70524950400.

The previous prime is 106225040123. The next prime is 106225040149. The reversal of 106225040133 is 331040522601.

106225040133 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 250 + 401 + 3 + 3 = 666.

It is not a de Polignac number, because 106225040133 - 2⁵ = 106225040101 is a prime.

It is a super-2 number, since 2×106225040133² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106225040097 and 106225040106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106225040123) 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, 11004093 + ... + 11013741.

It is an arithmetic number, because the mean of its divisors is an integer number (6419527400).

Almost surely, 2^106225040133 is an apocalyptic number.

It is an amenable number.

106225040133 is a deficient number, since it is larger than the sum of its proper divisors (47843617467).

106225040133 is a wasteful number, since it uses less digits than its factorization.

106225040133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14569 (or 14566 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 106225040133 its reverse (331040522601), we get a palindrome (437265562734).

The spelling of 106225040133 in words is "one hundred six billion, two hundred twenty-five million, forty thousand, one hundred thirty-three".