106825317033 has 32 divisors (see below), whose sum is σ = 150321628800. Its totient is φ = 67292798976.

The previous prime is 106825317031. The next prime is 106825317073. The reversal of 106825317033 is 330713528601.

It is not a de Polignac number, because 106825317033 - 2¹ = 106825317031 is a prime.

It is a super-2 number, since 2×106825317033² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106825316982 and 106825317000.

It is not an unprimeable number, because it can be changed into a prime (106825317031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49615885 + ... + 49618037.

It is an arithmetic number, because the mean of its divisors is an integer number (4697550900).

Almost surely, 2^106825317033 is an apocalyptic number.

It is an amenable number.

106825317033 is a deficient number, since it is larger than the sum of its proper divisors (43496311767).

106825317033 is a wasteful number, since it uses less digits than its factorization.

106825317033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041.

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 106825317033 in words is "one hundred six billion, eight hundred twenty-five million, three hundred seventeen thousand, thirty-three".