106623252 has 36 divisors (see below), whose sum is σ = 285375636. Its totient is φ = 33450240.

The previous prime is 106623199. The next prime is 106623259. The reversal of 106623252 is 252326601.

106623252 is a `hidden beast` number, since 10 + 6 + 623 + 25 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34644996 + 71978256 = 5886^2 + 8484^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106623252² = 22737035734111008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106623259) 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 11 ways as a sum of consecutive naturals, for example, 86499 + ... + 87722.

It is an arithmetic number, because the mean of its divisors is an integer number (7927101).

Almost surely, 2^106623252 is an apocalyptic number.

106623252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106623252 is an abundant number, since it is smaller than the sum of its proper divisors (178752384).

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

106623252 is a wasteful number, since it uses less digits than its factorization.

106623252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174248 (or 174243 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 106623252 is about 10325.8535724656. The cubic root of 106623252 is about 474.1880896435.

Adding to 106623252 its reverse (252326601), we get a palindrome (358949853).

The spelling of 106623252 in words is "one hundred six million, six hundred twenty-three thousand, two hundred fifty-two".