101025 has 18 divisors (see below), whose sum is σ = 181350. Its totient is φ = 53760.

The previous prime is 101021. The next prime is 101027. The reversal of 101025 is 520101.

It is a happy number.

101025 is a nontrivial binomial coefficient, being equal to C(450, 2).

It can be written as a sum of positive squares in 3 ways, for example, as 9216 + 91809 = 96^2 + 303^2 .

It is not a de Polignac number, because 101025 - 2² = 101021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100998 and 101016.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101025.

It is not an unprimeable number, because it can be changed into a prime (101021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1 + ... + 449.

It is an arithmetic number, because the mean of its divisors is an integer number (10075).

2¹⁰¹⁰²⁵ is an apocalyptic number.

101025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101025 is the 449-th triangular number and also the 225-th hexagonal number.

It is an amenable number.

101025 is a deficient number, since it is larger than the sum of its proper divisors (80325).

101025 is a wasteful number, since it uses less digits than its factorization.

101025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 101025 is about 317.8443015063. The cubic root of 101025 is about 46.5739371781.

Adding to 101025 its reverse (520101), we get a palindrome (621126).

It can be divided in two parts, 1010 and 25, that added together give a triangular number (1035 = T₄₅).

The spelling of 101025 in words is "one hundred one thousand, twenty-five".