106520256 has 84 divisors (see below), whose sum is σ = 308512464. Its totient is φ = 35136000.

The previous prime is 106520243. The next prime is 106520263. The reversal of 106520256 is 652025601.

106520256 is a `hidden beast` number, since 1 + 0 + 652 + 0 + 2 + 5 + 6 = 666.

It is a super-2 number, since 2×106520256² = 22693129876611072, which 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 11 ways as a sum of consecutive naturals, for example, 57261 + ... + 59091.

Almost surely, 2^106520256 is an apocalyptic number.

106520256 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 106520256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154256232).

106520256 is an abundant number, since it is smaller than the sum of its proper divisors (201992208).

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

106520256 is a wasteful number, since it uses less digits than its factorization.

106520256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 106520256 is about 10320.8650800212. The cubic root of 106520256 is about 474.0353549444.

Adding to 106520256 its reverse (652025601), we get a palindrome (758545857).

It can be divided in two parts, 1065 and 20256, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 106520256 in words is "one hundred six million, five hundred twenty thousand, two hundred fifty-six".