106288389 has 32 divisors (see below), whose sum is σ = 163215360. Its totient is φ = 68315184.

The previous prime is 106288333. The next prime is 106288397. The reversal of 106288389 is 983882601.

106288389 is a `hidden beast` number, since 10 + 628 + 8 + 3 + 8 + 9 = 666.

It is not a de Polignac number, because 106288389 - 2⁹ = 106287877 is a prime.

It is a super-2 number, since 2×106288389² = 22594443272430642, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106283389) 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 31 ways as a sum of consecutive naturals, for example, 95812 + ... + 96914.

It is an arithmetic number, because the mean of its divisors is an integer number (5100480).

Almost surely, 2^106288389 is an apocalyptic number.

It is an amenable number.

106288389 is a deficient number, since it is larger than the sum of its proper divisors (56926971).

106288389 is a wasteful number, since it uses less digits than its factorization.

106288389 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 106288389 is about 10309.6260358948. The cubic root of 106288389 is about 473.6911543602.

The spelling of 106288389 in words is "one hundred six million, two hundred eighty-eight thousand, three hundred eighty-nine".