106408584 has 24 divisors (see below), whose sum is σ = 288190110. Its totient is φ = 35469504.

The previous prime is 106408553. The next prime is 106408613. The reversal of 106408584 is 485804601.

106408584 is a `hidden beast` number, since 1 + 0 + 640 + 8 + 5 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93663684 + 12744900 = 9678^2 + 3570^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×106408584² = 22645573497770112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 5 ways as a sum of consecutive naturals, for example, 738877 + ... + 739020.

Almost surely, 2^106408584 is an apocalyptic number.

It is an amenable number.

106408584 is an abundant number, since it is smaller than the sum of its proper divisors (181781526).

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

106408584 is a wasteful number, since it uses less digits than its factorization.

106408584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477909 (or 1477902 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 106408584 is about 10315.4536497432. The cubic root of 106408584 is about 473.8696431577.

The spelling of 106408584 in words is "one hundred six million, four hundred eight thousand, five hundred eighty-four".