106425435168 has 384 divisors, whose sum is σ = 347104396800. Its totient is φ = 31499145216.

The previous prime is 106425435163. The next prime is 106425435169. The reversal of 106425435168 is 861534524601.

106425435168 is a `hidden beast` number, since 1 + 0 + 6 + 42 + 543 + 5 + 1 + 68 = 666.

It is a super-2 number, since 2×106425435168² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106425435163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129313605 + ... + 129314427.

It is an arithmetic number, because the mean of its divisors is an integer number (903917700).

Almost surely, 2^106425435168 is an apocalyptic number.

106425435168 is a gapful number since it is divisible by the number (18) 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 106425435168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173552198400).

106425435168 is an abundant number, since it is smaller than the sum of its proper divisors (240678961632).

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

106425435168 is a wasteful number, since it uses less digits than its factorization.

106425435168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

Adding to 106425435168 its reverse (861534524601), we get a palindrome (967959959769).

The spelling of 106425435168 in words is "one hundred six billion, four hundred twenty-five million, four hundred thirty-five thousand, one hundred sixty-eight".