100456025 has 12 divisors (see below), whose sum is σ = 124734204. Its totient is φ = 80256000.

The previous prime is 100456001. The next prime is 100456033. The reversal of 100456025 is 520654001.

It can be written as a sum of positive squares in 6 ways, for example, as 15429184 + 85026841 = 3928^2 + 9221^2 .

It is not a de Polignac number, because 100456025 - 2⁶ = 100455961 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19745 + ... + 24305.

It is an arithmetic number, because the mean of its divisors is an integer number (10394517).

Almost surely, 2^100456025 is an apocalyptic number.

It is an amenable number.

100456025 is a deficient number, since it is larger than the sum of its proper divisors (24278179).

100456025 is an equidigital number, since it uses as much as digits as its factorization.

100456025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5452 (or 5447 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 100456025 is about 10022.7753142530. The cubic root of 100456025 is about 464.8633737426.

The spelling of 100456025 in words is "one hundred million, four hundred fifty-six thousand, twenty-five".