106510523 has 24 divisors (see below), whose sum is σ = 129954528. Its totient is φ = 85494528.

The previous prime is 106510511. The next prime is 106510583. The reversal of 106510523 is 325015601.

It is not a de Polignac number, because 106510523 - 2⁸ = 106510267 is a prime.

It is a super-3 number, since 3×106510523³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (106510583) 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, 285365 + ... + 285737.

It is an arithmetic number, because the mean of its divisors is an integer number (5414772).

Almost surely, 2^106510523 is an apocalyptic number.

106510523 is a deficient number, since it is larger than the sum of its proper divisors (23444005).

106510523 is a wasteful number, since it uses less digits than its factorization.

106510523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 106510523 is about 10320.3935486976. The cubic root of 106510523 is about 474.0209166056.

The spelling of 106510523 in words is "one hundred six million, five hundred ten thousand, five hundred twenty-three".