106584976 has 45 divisors (see below), whose sum is σ = 216305011. Its totient is φ = 50876672.

The previous prime is 106584971. The next prime is 106584977. The reversal of 106584976 is 679485601.

The square root of 106584976 is 10324.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9759376 + 96825600 = 3124^2 + 9840^2 .

It is a super-2 number, since 2×106584976² = 22720714217841152, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106584971) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1197540 + ... + 1197628.

Almost surely, 2^106584976 is an apocalyptic number.

106584976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

106584976 is the 10324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106584976

106584976 is an abundant number, since it is smaller than the sum of its proper divisors (109720035).

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

106584976 is an frugal number, since it uses more digits than its factorization.

106584976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The cubic root of 106584976 is about 474.1313409348.

The spelling of 106584976 in words is "one hundred six million, five hundred eighty-four thousand, nine hundred seventy-six".