106528510 has 32 divisors (see below), whose sum is σ = 210146400. Its totient is φ = 38559360.

The previous prime is 106528483. The next prime is 106528517. The reversal of 106528510 is 15825601.

It is a super-2 number, since 2×106528510² = 22696646885640200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106528517) 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 15 ways as a sum of consecutive naturals, for example, 23076 + ... + 27304.

It is an arithmetic number, because the mean of its divisors is an integer number (6567075).

Almost surely, 2^106528510 is an apocalyptic number.

106528510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106528510 is a deficient number, since it is larger than the sum of its proper divisors (103617890).

106528510 is a wasteful number, since it uses less digits than its factorization.

106528510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4476.

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 106528510 is about 10321.2649418567. The cubic root of 106528510 is about 474.0475985837.

The spelling of 106528510 in words is "one hundred six million, five hundred twenty-eight thousand, five hundred ten".