106288047 has 12 divisors (see below), whose sum is σ = 156044824. Its totient is φ = 69696720.

The previous prime is 106288019. The next prime is 106288067. The reversal of 106288047 is 740882601.

It is not a de Polignac number, because 106288047 - 2¹² = 106283951 is a prime.

It is a super-2 number, since 2×106288047² = 22594297870148418, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106288067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96253 + ... + 97350.

Almost surely, 2^106288047 is an apocalyptic number.

106288047 is a deficient number, since it is larger than the sum of its proper divisors (49756777).

106288047 is a wasteful number, since it uses less digits than its factorization.

106288047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193670 (or 193667 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 106288047 is about 10309.6094494408. The cubic root of 106288047 is about 473.6906463005.

The spelling of 106288047 in words is "one hundred six million, two hundred eighty-eight thousand, forty-seven".