106286432256 has 225 divisors, whose sum is σ = 318663433011. Its totient is φ = 35303620608.

The previous prime is 106286432243. The next prime is 106286432303. The reversal of 106286432256 is 652234682601.

The square root of 106286432256 is 326016.

It is a perfect power (a square), and thus also a powerful number.

106286432256 is a `hidden beast` number, since 10 + 628 + 6 + 4 + 3 + 2 + 2 + 5 + 6 = 666.

It is a super-2 number, since 2×106286432256² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 375570291 + ... + 375570573.

Almost surely, 2^106286432256 is an apocalyptic number.

106286432256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

106286432256 is the 326016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106286432256

106286432256 is an abundant number, since it is smaller than the sum of its proper divisors (212377000755).

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

106286432256 is an frugal number, since it uses more digits than its factorization.

106286432256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 106286432256 in words is "one hundred six billion, two hundred eighty-six million, four hundred thirty-two thousand, two hundred fifty-six".