100353125 has 24 divisors (see below), whose sum is σ = 132882120. Its totient is φ = 75520000.

The previous prime is 100353109. The next prime is 100353133. The reversal of 100353125 is 521353001.

It can be written as a sum of positive squares in 12 ways, for example, as 97259044 + 3094081 = 9862^2 + 1759^2 .

It is not a de Polignac number, because 100353125 - 2⁴ = 100353109 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100353097 and 100353106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52181 + ... + 54069.

It is an arithmetic number, because the mean of its divisors is an integer number (5536755).

Almost surely, 2^100353125 is an apocalyptic number.

It is an amenable number.

100353125 is a deficient number, since it is larger than the sum of its proper divisors (32528995).

100353125 is an frugal number, since it uses more digits than its factorization.

100353125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 100353125 is about 10017.6406903023. The cubic root of 100353125 is about 464.7045952018.

The spelling of 100353125 in words is "one hundred million, three hundred fifty-three thousand, one hundred twenty-five".