100007825 has 12 divisors (see below), whose sum is σ = 125110668. Its totient is φ = 79296000.

The previous prime is 100007819. The next prime is 100007833. The reversal of 100007825 is 528700001.

It can be written as a sum of positive squares in 6 ways, for example, as 34656769 + 65351056 = 5887^2 + 8084^2 .

It is not a de Polignac number, because 100007825 - 2¹⁶ = 99942289 is a prime.

It is a super-2 number, since 2×100007825² = 20003130122461250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100007825.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14876 + ... + 20525.

It is an arithmetic number, because the mean of its divisors is an integer number (10425889).

Almost surely, 2^100007825 is an apocalyptic number.

It is an amenable number.

100007825 is a deficient number, since it is larger than the sum of its proper divisors (25102843).

100007825 is a wasteful number, since it uses less digits than its factorization.

100007825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35524 (or 35519 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 100007825 is about 10000.3912423465. The cubic root of 100007825 is about 464.1709898564.

Adding to 100007825 its reverse (528700001), we get a palindrome (628707826).

The spelling of 100007825 in words is "one hundred million, seven thousand, eight hundred twenty-five".