106624005 has 16 divisors (see below), whose sum is σ = 171648960. Its totient is φ = 56515968.

The previous prime is 106623947. The next prime is 106624043. The reversal of 106624005 is 500426601.

It is not a de Polignac number, because 106624005 - 2¹³ = 106615813 is a prime.

It is a super-2 number, since 2×106624005² = 22737356884480050, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 19360 + ... + 24249.

It is an arithmetic number, because the mean of its divisors is an integer number (10728060).

Almost surely, 2^106624005 is an apocalyptic number.

106624005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106624005 is a deficient number, since it is larger than the sum of its proper divisors (65024955).

106624005 is a wasteful number, since it uses less digits than its factorization.

106624005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43780.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 106624005 is about 10325.8900342779. The cubic root of 106624005 is about 474.1892059191.

The spelling of 106624005 in words is "one hundred six million, six hundred twenty-four thousand, five".