100810525 has 24 divisors (see below), whose sum is σ = 130125600. Its totient is φ = 77380800.

The previous prime is 100810519. The next prime is 100810553. The reversal of 100810525 is 525018001.

It is not a de Polignac number, because 100810525 - 2⁷ = 100810397 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100810496 and 100810505.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 152646 + ... + 153304.

It is an arithmetic number, because the mean of its divisors is an integer number (5421900).

Almost surely, 2^100810525 is an apocalyptic number.

It is an amenable number.

100810525 is a deficient number, since it is larger than the sum of its proper divisors (29315075).

100810525 is a wasteful number, since it uses less digits than its factorization.

100810525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

The square root of 100810525 is about 10040.4444622736. Note that the first 4 decimals coincide. The cubic root of 100810525 is about 465.4095516928.

Adding to 100810525 its reverse (525018001), we get a palindrome (625828526).

The spelling of 100810525 in words is "one hundred million, eight hundred ten thousand, five hundred twenty-five".