106005430256 has 120 divisors (see below), whose sum is σ = 234078872160. Its totient is φ = 46415255040.

The previous prime is 106005430207. The next prime is 106005430283. The reversal of 106005430256 is 652034500601.

It is a super-2 number, since 2×106005430256² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27340190 + ... + 27344066.

It is an arithmetic number, because the mean of its divisors is an integer number (1950657268).

Almost surely, 2^106005430256 is an apocalyptic number.

106005430256 is a gapful number since it is divisible by the number (16) 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 106005430256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117039436080).

106005430256 is an abundant number, since it is smaller than the sum of its proper divisors (128073441904).

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

106005430256 is a wasteful number, since it uses less digits than its factorization.

106005430256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4423 (or 4406 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 106005430256 its reverse (652034500601), we get a palindrome (758039930857).

The spelling of 106005430256 in words is "one hundred six billion, five million, four hundred thirty thousand, two hundred fifty-six".