107252 has 6 divisors (see below), whose sum is σ = 187698. Its totient is φ = 53624.

The previous prime is 107251. The next prime is 107269. The reversal of 107252 is 252701.

It can be written as a sum of positive squares in only one way, i.e., 99856 + 7396 = 316^2 + 86^2 .

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 107252.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107252.

It is not an unprimeable number, because it can be changed into a prime (107251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13403 + ... + 13410.

It is an arithmetic number, because the mean of its divisors is an integer number (31283).

2¹⁰⁷²⁵² is an apocalyptic number.

It is an amenable number.

107252 is a deficient number, since it is larger than the sum of its proper divisors (80446).

107252 is a wasteful number, since it uses less digits than its factorization.

107252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26817 (or 26815 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 107252 is about 327.4935113861. The cubic root of 107252 is about 47.5118345397.

Adding to 107252 its reverse (252701), we get a palindrome (359953).

The spelling of 107252 in words is "one hundred seven thousand, two hundred fifty-two".