106559756238 has 96 divisors (see below), whose sum is σ = 237347193600. Its totient is φ = 31861589760.

The previous prime is 106559756231. The next prime is 106559756239. The reversal of 106559756238 is 832657955601.

It is a super-2 number, since 2×106559756238² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106559756231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8670658 + ... + 8682938.

It is an arithmetic number, because the mean of its divisors is an integer number (2472366600).

Almost surely, 2^106559756238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106559756238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118673596800).

106559756238 is an abundant number, since it is smaller than the sum of its proper divisors (130787437362).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106559756238 is a wasteful number, since it uses less digits than its factorization.

106559756238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12554 (or 12541 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 57.

The spelling of 106559756238 in words is "one hundred six billion, five hundred fifty-nine million, seven hundred fifty-six thousand, two hundred thirty-eight".