106073333509 has 24 divisors (see below), whose sum is σ = 125335540512. Its totient is φ = 88989001920.

The previous prime is 106073333507. The next prime is 106073333543. The reversal of 106073333509 is 905333370601.

It is not a de Polignac number, because 106073333509 - 2¹ = 106073333507 is a prime.

It is a super-2 number, since 2×106073333509² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106073333507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13479394 + ... + 13487260.

It is an arithmetic number, because the mean of its divisors is an integer number (5222314188).

Almost surely, 2^106073333509 is an apocalyptic number.

It is an amenable number.

106073333509 is a deficient number, since it is larger than the sum of its proper divisors (19262207003).

106073333509 is a wasteful number, since it uses less digits than its factorization.

106073333509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15157 (or 15144 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 40.

The spelling of 106073333509 in words is "one hundred six billion, seventy-three million, three hundred thirty-three thousand, five hundred nine".