101032825 has 12 divisors (see below), whose sum is σ = 126524268. Its totient is φ = 80024000.

The previous prime is 101032807. The next prime is 101032837. The reversal of 101032825 is 528230101.

It can be written as a sum of positive squares in 6 ways, for example, as 1352569 + 99680256 = 1163^2 + 9984^2 .

It is not a de Polignac number, because 101032825 - 2⁵ = 101032793 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101032796 and 101032805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17482 + ... + 22531.

It is an arithmetic number, because the mean of its divisors is an integer number (10543689).

Almost surely, 2^101032825 is an apocalyptic number.

It is an amenable number.

101032825 is a deficient number, since it is larger than the sum of its proper divisors (25491443).

101032825 is a wasteful number, since it uses less digits than its factorization.

101032825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40124 (or 40119 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 101032825 is about 10051.5085932411. The cubic root of 101032825 is about 465.7513962522.

Adding to 101032825 its reverse (528230101), we get a palindrome (629262926).

The spelling of 101032825 in words is "one hundred one million, thirty-two thousand, eight hundred twenty-five".