252100105 has 8 divisors (see below), whose sum is σ = 305296200. Its totient is φ = 199829376.

The previous prime is 252100067. The next prime is 252100109. The reversal of 252100105 is 501001252.

252100105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 128867904 + 123232201 = 11352^2 + 11101^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 252100105 - 2⁷ = 252099977 is a prime.

It is a super-2 number, since 2×252100105² = 127108925882022050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252100109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230740 + ... + 231829.

It is an arithmetic number, because the mean of its divisors is an integer number (38162025).

Almost surely, 2^252100105 is an apocalyptic number.

It is an amenable number.

252100105 is a deficient number, since it is larger than the sum of its proper divisors (53196095).

252100105 is a wasteful number, since it uses less digits than its factorization.

252100105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462683.

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 252100105 is about 15877.6605644534. The cubic root of 252100105 is about 631.7195861507.

Adding to 252100105 its reverse (501001252), we get a palindrome (753101357).

The spelling of 252100105 in words is "two hundred fifty-two million, one hundred thousand, one hundred five".