101009825 has 18 divisors (see below), whose sum is σ = 145703286. Its totient is φ = 69263040.

The previous prime is 101009791. The next prime is 101009827. The reversal of 101009825 is 528900101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3869089 + 97140736 = 1967^2 + 9856^2 .

It is not a de Polignac number, because 101009825 - 2⁶ = 101009761 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101009794 and 101009803.

It is not an unprimeable number, because it can be changed into a prime (101009827) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 40004 + ... + 42453.

It is an arithmetic number, because the mean of its divisors is an integer number (8094627).

Almost surely, 2^101009825 is an apocalyptic number.

It is an amenable number.

101009825 is a deficient number, since it is larger than the sum of its proper divisors (44693461).

101009825 is an equidigital number, since it uses as much as digits as its factorization.

101009825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82481 (or 82469 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 101009825 is about 10050.3644212536. The cubic root of 101009825 is about 465.7160509899.

Adding to 101009825 its reverse (528900101), we get a palindrome (629909926).

The spelling of 101009825 in words is "one hundred one million, nine thousand, eight hundred twenty-five".