100805125 has 16 divisors (see below), whose sum is σ = 126230832. Its totient is φ = 80371200.

The previous prime is 100805069. The next prime is 100805137. The reversal of 100805125 is 521508001.

It can be written as a sum of positive squares in 8 ways, for example, as 75463969 + 25341156 = 8687^2 + 5034^2 .

It is not a de Polignac number, because 100805125 - 2⁷ = 100804997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100805096 and 100805105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40929 + ... + 43321.

It is an arithmetic number, because the mean of its divisors is an integer number (7889427).

Almost surely, 2^100805125 is an apocalyptic number.

It is an amenable number.

100805125 is a deficient number, since it is larger than the sum of its proper divisors (25425707).

100805125 is an equidigital number, since it uses as much as digits as its factorization.

100805125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2735 counting only the distinct ones).

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

The square root of 100805125 is about 10040.1755462741. The cubic root of 100805125 is about 465.4012415273.

The spelling of 100805125 in words is "one hundred million, eight hundred five thousand, one hundred twenty-five".