101707225 has 9 divisors (see below), whose sum is σ = 126179517. Its totient is φ = 81325440.

The previous prime is 101707223. The next prime is 101707241. The reversal of 101707225 is 522707101.

It is a happy number.

The square root of 101707225 is 10085.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5745609 + 95961616 = 2397^2 + 9796^2 .

It is not a de Polignac number, because 101707225 - 2¹ = 101707223 is a prime.

It is a super-3 number, since 3×101707225³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101707225.

It is not an unprimeable number, because it can be changed into a prime (101707223) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 49417 + ... + 51433.

Almost surely, 2^101707225 is an apocalyptic number.

101707225 is the 10085-th square number.

101707225 is the 5043-rd centered octagonal number.

It is an amenable number.

101707225 is a deficient number, since it is larger than the sum of its proper divisors (24472292).

101707225 is an frugal number, since it uses more digits than its factorization.

101707225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4044 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 25.

The cubic root of 101707225 is about 466.7854048765.

Multiplying 101707225 by its sum of digits (25), we get a square (2542680625 = 50425²).

101707225 divided by its sum of digits (25) gives a square (4068289 = 2017²).

The spelling of 101707225 in words is "one hundred one million, seven hundred seven thousand, two hundred twenty-five".