106561252 has 24 divisors (see below), whose sum is σ = 213736320. Its totient is φ = 45537600.

The previous prime is 106561249. The next prime is 106561307. The reversal of 106561252 is 252165601.

It is a super-2 number, since 2×106561252² = 22710600855615008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 106561252.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4752 + ... + 15352.

It is an arithmetic number, because the mean of its divisors is an integer number (8905680).

Almost surely, 2^106561252 is an apocalyptic number.

It is an amenable number.

106561252 is an abundant number, since it is smaller than the sum of its proper divisors (107175068).

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

106561252 is a wasteful number, since it uses less digits than its factorization.

106561252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10971 (or 10969 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 106561252 is about 10322.8509627912. The cubic root of 106561252 is about 474.0961604712.

The spelling of 106561252 in words is "one hundred six million, five hundred sixty-one thousand, two hundred fifty-two".