106521064 has 32 divisors (see below), whose sum is σ = 217241640. Its totient is φ = 48672000.

The previous prime is 106521061. The next prime is 106521091. The reversal of 106521064 is 460125601.

It can be written as a sum of positive squares in 4 ways, for example, as 84824100 + 21696964 = 9210^2 + 4658^2 .

It is a super-2 number, since 2×106521064² = 22693474151384192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106521061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5434 + ... + 15574.

Almost surely, 2^106521064 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 106521064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108620820).

106521064 is an abundant number, since it is smaller than the sum of its proper divisors (110720576).

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

106521064 is a wasteful number, since it uses less digits than its factorization.

106521064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10261 (or 10257 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 106521064 is about 10320.9042239525. The cubic root of 106521064 is about 474.0365535259.

Adding to 106521064 its reverse (460125601), we get a palindrome (566646665).

The spelling of 106521064 in words is "one hundred six million, five hundred twenty-one thousand, sixty-four".