106307509 has 24 divisors (see below), whose sum is σ = 136055808. Its totient is φ = 82131840.

The previous prime is 106307507. The next prime is 106307521. The reversal of 106307509 is 905703601.

It is not a de Polignac number, because 106307509 - 2¹ = 106307507 is a prime.

It is a super-2 number, since 2×106307509² = 22602572939570162, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106307501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67677 + ... + 69229.

It is an arithmetic number, because the mean of its divisors is an integer number (5668992).

Almost surely, 2^106307509 is an apocalyptic number.

It is an amenable number.

106307509 is a deficient number, since it is larger than the sum of its proper divisors (29748299).

106307509 is a wasteful number, since it uses less digits than its factorization.

106307509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 31.

The square root of 106307509 is about 10310.5532829233. The cubic root of 106307509 is about 473.7195564335.

The spelling of 106307509 in words is "one hundred six million, three hundred seven thousand, five hundred nine".