101005252 has 12 divisors (see below), whose sum is σ = 178509996. Its totient is φ = 50002400.

The previous prime is 101005207. The next prime is 101005253. The reversal of 101005252 is 252500101.

It can be written as a sum of positive squares in 2 ways, for example, as 87871876 + 13133376 = 9374^2 + 3624^2 .

It is not an unprimeable number, because it can be changed into a prime (101005253) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 124603 + ... + 125410.

It is an arithmetic number, because the mean of its divisors is an integer number (14875833).

Almost surely, 2^101005252 is an apocalyptic number.

It is an amenable number.

101005252 is a deficient number, since it is larger than the sum of its proper divisors (77504744).

101005252 is a wasteful number, since it uses less digits than its factorization.

101005252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250118 (or 250116 counting only the distinct ones).

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

The square root of 101005252 is about 10050.1369144903. The cubic root of 101005252 is about 465.7090227903.

Adding to 101005252 its reverse (252500101), we get a palindrome (353505353).

The spelling of 101005252 in words is "one hundred one million, five thousand, two hundred fifty-two".