106236064 has 36 divisors (see below), whose sum is σ = 229903002. Its totient is φ = 48287360.

The previous prime is 106236047. The next prime is 106236073. The reversal of 106236064 is 460632601.

It can be written as a sum of positive squares in only one way, i.e., 89491600 + 16744464 = 9460^2 + 4092^2 .

It is a super-2 number, since 2×106236064² = 22572202588424192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9847 + ... + 17590.

Almost surely, 2^106236064 is an apocalyptic number.

It is an amenable number.

106236064 is an abundant number, since it is smaller than the sum of its proper divisors (123666938).

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

106236064 is a wasteful number, since it uses less digits than its factorization.

106236064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27469 (or 27450 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 106236064 is about 10307.0880465823. The cubic root of 106236064 is about 473.6134100324.

Adding to 106236064 its reverse (460632601), we get a palindrome (566868665).

The spelling of 106236064 in words is "one hundred six million, two hundred thirty-six thousand, sixty-four".