106523904 has 144 divisors (see below), whose sum is σ = 309052800. Its totient is φ = 32440320.

The previous prime is 106523897. The next prime is 106523909. The reversal of 106523904 is 409325601.

It is a super-2 number, since 2×106523904² = 22694684246802432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106523909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 535197 + ... + 535395.

It is an arithmetic number, because the mean of its divisors is an integer number (2146200).

Almost surely, 2^106523904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106523904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154526400).

106523904 is an abundant number, since it is smaller than the sum of its proper divisors (202528896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106523904 is a wasteful number, since it uses less digits than its factorization.

106523904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 106523904 is about 10321.0418078797. The cubic root of 106523904 is about 474.0407663134.

The spelling of 106523904 in words is "one hundred six million, five hundred twenty-three thousand, nine hundred four".