106509519 has 16 divisors (see below), whose sum is σ = 159328000. Its totient is φ = 70315128.

The previous prime is 106509509. The next prime is 106509523. The reversal of 106509519 is 915905601.

It is not a de Polignac number, because 106509519 - 2¹² = 106505423 is a prime.

It is a super-2 number, since 2×106509519² = 22688555275222722, 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 (106509509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16369 + ... + 21930.

It is an arithmetic number, because the mean of its divisors is an integer number (9958000).

Almost surely, 2^106509519 is an apocalyptic number.

106509519 is a deficient number, since it is larger than the sum of its proper divisors (52818481).

106509519 is a wasteful number, since it uses less digits than its factorization.

106509519 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38411 (or 38405 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The square root of 106509519 is about 10320.3449070271. The cubic root of 106509519 is about 474.0194271800.

The spelling of 106509519 in words is "one hundred six million, five hundred nine thousand, five hundred nineteen".