106288573 has 16 divisors (see below), whose sum is σ = 115893504. Its totient is φ = 97093120.

The previous prime is 106288571. The next prime is 106288579. The reversal of 106288573 is 375882601.

It is not a de Polignac number, because 106288573 - 2¹ = 106288571 is a prime.

It is a super-2 number, since 2×106288573² = 22594521500752658, 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 (106288571) 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 15 ways as a sum of consecutive naturals, for example, 108978 + ... + 109948.

It is an arithmetic number, because the mean of its divisors is an integer number (7243344).

Almost surely, 2^106288573 is an apocalyptic number.

It is an amenable number.

106288573 is a deficient number, since it is larger than the sum of its proper divisors (9604931).

106288573 is a wasteful number, since it uses less digits than its factorization.

106288573 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172.

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 106288573 is about 10309.6349595900. The cubic root of 106288573 is about 473.6914277018.

The spelling of 106288573 in words is "one hundred six million, two hundred eighty-eight thousand, five hundred seventy-three".