106559131140 has 288 divisors, whose sum is σ = 403281365760. Its totient is φ = 22126003200.

The previous prime is 106559131139. The next prime is 106559131141. The reversal of 106559131140 is 41131955601.

106559131140 is a `hidden beast` number, since 1 + 0 + 65 + 591 + 3 + 1 + 1 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106559131139) and next prime (106559131141).

It is a super-2 number, since 2×106559131140² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106559131095 and 106559131104.

It is not an unprimeable number, because it can be changed into a prime (106559131141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32999046 + ... + 33002274.

It is an arithmetic number, because the mean of its divisors is an integer number (1400282520).

Almost surely, 2^106559131140 is an apocalyptic number.

106559131140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106559131140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201640682880).

106559131140 is an abundant number, since it is smaller than the sum of its proper divisors (296722234620).

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

106559131140 is a wasteful number, since it uses less digits than its factorization.

106559131140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5643 (or 5638 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 106559131140 in words is "one hundred six billion, five hundred fifty-nine million, one hundred thirty-one thousand, one hundred forty".