106584604 has 36 divisors (see below), whose sum is σ = 228403560. Its totient is φ = 43273440.

The previous prime is 106584589. The next prime is 106584607. The reversal of 106584604 is 406485601.

It is a super-3 number, since 3×106584604³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 106584604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106584607) 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 11 ways as a sum of consecutive naturals, for example, 10587 + ... + 18034.

Almost surely, 2^106584604 is an apocalyptic number.

106584604 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106584604 is an abundant number, since it is smaller than the sum of its proper divisors (121818956).

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

106584604 is a wasteful number, since it uses less digits than its factorization.

106584604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28658 (or 28649 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 106584604 is about 10323.9819837115. The cubic root of 106584604 is about 474.1307893340.

The spelling of 106584604 in words is "one hundred six million, five hundred eighty-four thousand, six hundred four".