101643125 has 10 divisors (see below), whose sum is σ = 127014030. Its totient is φ = 81314000.

The previous prime is 101643097. The next prime is 101643127. The reversal of 101643125 is 521346101.

It can be written as a sum of positive squares in 5 ways, for example, as 18887716 + 82755409 = 4346^2 + 9097^2 .

It is not a de Polignac number, because 101643125 - 2¹² = 101639029 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101643125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101643127) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 80690 + ... + 81939.

It is an arithmetic number, because the mean of its divisors is an integer number (12701403).

Almost surely, 2^101643125 is an apocalyptic number.

It is an amenable number.

101643125 is a deficient number, since it is larger than the sum of its proper divisors (25370905).

101643125 is an frugal number, since it uses more digits than its factorization.

101643125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162649 (or 162634 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 101643125 is about 10081.8215120086. The cubic root of 101643125 is about 466.6873219316.

Adding to 101643125 its reverse (521346101), we get a palindrome (622989226).

The spelling of 101643125 in words is "one hundred one million, six hundred forty-three thousand, one hundred twenty-five".