106515252 has 36 divisors (see below), whose sum is σ = 270386116. Its totient is φ = 35354880.

The previous prime is 106515239. The next prime is 106515313. The reversal of 106515252 is 252515601.

106515252 is a `hidden beast` number, since 1 + 0 + 651 + 5 + 2 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41293476 + 65221776 = 6426^2 + 8076^2 .

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

It is a super-2 number, since 2×106515252² = 22690997817247008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 2538 + ... + 14814.

Almost surely, 2^106515252 is an apocalyptic number.

106515252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106515252 is an abundant number, since it is smaller than the sum of its proper divisors (163870864).

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

106515252 is a wasteful number, since it uses less digits than its factorization.

106515252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12528 (or 12523 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 106515252 is about 10320.6226556347. The cubic root of 106515252 is about 474.0279319117.

The spelling of 106515252 in words is "one hundred six million, five hundred fifteen thousand, two hundred fifty-two".