106591802256 has 105 divisors (see below), whose sum is σ = 309743240299. Its totient is φ = 35518847328.

The previous prime is 106591802237. The next prime is 106591802263. The reversal of 106591802256 is 652208195601.

The square root of 106591802256 is 326484.

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

106591802256 is a `hidden beast` number, since 1 + 0 + 6 + 591 + 8 + 0 + 2 + 2 + 56 = 666.

It is a super-2 number, since 2×106591802256² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 35258761 + ... + 35261783.

Almost surely, 2^106591802256 is an apocalyptic number.

106591802256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

106591802256 is the 326484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106591802256

106591802256 is an abundant number, since it is smaller than the sum of its proper divisors (203151438043).

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

106591802256 is an frugal number, since it uses more digits than its factorization.

106591802256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6072 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

Adding to 106591802256 its reverse (652208195601), we get a palindrome (758799997857).

The spelling of 106591802256 in words is "one hundred six billion, five hundred ninety-one million, eight hundred two thousand, two hundred fifty-six".