106584256 has 56 divisors (see below), whose sum is σ = 218907360. Its totient is φ = 51456000.

The previous prime is 106584253. The next prime is 106584259. The reversal of 106584256 is 652485601.

It is an interprime number because it is at equal distance from previous prime (106584253) and next prime (106584259).

It is a super-2 number, since 2×106584256² = 22720407254147072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106584253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 396090 + ... + 396358.

It is an arithmetic number, because the mean of its divisors is an integer number (3909060).

Almost surely, 2^106584256 is an apocalyptic number.

106584256 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 106584256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109453680).

106584256 is an abundant number, since it is smaller than the sum of its proper divisors (112323104).

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

106584256 is a wasteful number, since it uses less digits than its factorization.

106584256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 106584256 is about 10323.9651297358. The cubic root of 106584256 is about 474.1302733193.

The spelling of 106584256 in words is "one hundred six million, five hundred eighty-four thousand, two hundred fifty-six".