106005627 has 48 divisors (see below), whose sum is σ = 191213568. Its totient is φ = 55097280.

The previous prime is 106005611. The next prime is 106005631. The reversal of 106005627 is 726500601.

106005627 is a `hidden beast` number, since 1 + 0 + 600 + 56 + 2 + 7 = 666.

It is not a de Polignac number, because 106005627 - 2⁴ = 106005611 is a prime.

It is a super-2 number, since 2×106005627² = 22474385911326258, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106005627.

It is not an unprimeable number, because it can be changed into a prime (106005227) 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 47 ways as a sum of consecutive naturals, for example, 57238 + ... + 59060.

It is an arithmetic number, because the mean of its divisors is an integer number (3983616).

Almost surely, 2^106005627 is an apocalyptic number.

106005627 is a deficient number, since it is larger than the sum of its proper divisors (85207941).

106005627 is a wasteful number, since it uses less digits than its factorization.

106005627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 106005627 is about 10295.9034086378. The cubic root of 106005627 is about 473.2707233305.

The spelling of 106005627 in words is "one hundred six million, five thousand, six hundred twenty-seven".