106582394226240 has 168 divisors, whose sum is σ = 366607679450688. Its totient is φ = 28421300966400.

The previous prime is 106582394226229. The next prime is 106582394226247. The reversal of 106582394226240 is 42622493285601.

106582394226240 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 8 + 2 + 3 + 9 + 4 + 2 + 2 + 624 + 0 = 666.

106582394226240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106582394226240² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106582394226247) 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, 128180469 + ... + 129009291.

Almost surely, 2^{106582394226240} is an apocalyptic number.

106582394226240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106582394226240 is an abundant number, since it is smaller than the sum of its proper divisors (260025285224448).

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

106582394226240 is a wasteful number, since it uses less digits than its factorization.

106582394226240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873497 (or 873484 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 106582394226240 in words is "one hundred six trillion, five hundred eighty-two billion, three hundred ninety-four million, two hundred twenty-six thousand, two hundred forty".