106288479 has 48 divisors (see below), whose sum is σ = 174680064. Its totient is φ = 61713600.

The previous prime is 106288477. The next prime is 106288499. The reversal of 106288479 is 974882601.

106288479 is a `hidden beast` number, since 10 + 628 + 8 + 4 + 7 + 9 = 666.

It is not a de Polignac number, because 106288479 - 2¹ = 106288477 is a prime.

It is a super-2 number, since 2×106288479² = 22594481536266882, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106288477) 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 47 ways as a sum of consecutive naturals, for example, 246394 + ... + 246824.

It is an arithmetic number, because the mean of its divisors is an integer number (3639168).

Almost surely, 2^106288479 is an apocalyptic number.

106288479 is a deficient number, since it is larger than the sum of its proper divisors (68391585).

106288479 is a wasteful number, since it uses less digits than its factorization.

106288479 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 106288479 is about 10309.6304007467. The cubic root of 106288479 is about 473.6912880599.

The spelling of 106288479 in words is "one hundred six million, two hundred eighty-eight thousand, four hundred seventy-nine".