100895625 has 50 divisors (see below), whose sum is σ = 188434994. Its totient is φ = 53784000.

The previous prime is 100895621. The next prime is 100895653. The reversal of 100895625 is 526598001.

100895625 = 47² + 48² + ... + 671².

It is a happy number.

100895625 is a `hidden beast` number, since 10 + 0 + 89 + 562 + 5 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 28100601 + 72795024 = 5301^2 + 8532^2 .

It is not a de Polignac number, because 100895625 - 2² = 100895621 is a prime.

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 100895625.

It is not an unprimeable number, because it can be changed into a prime (100895621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 49629 + ... + 51621.

Almost surely, 2^100895625 is an apocalyptic number.

100895625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100895625 is a deficient number, since it is larger than the sum of its proper divisors (87539369).

100895625 is an frugal number, since it uses more digits than its factorization.

100895625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 100895625 is about 10044.6814284974. The cubic root of 100895625 is about 465.5404745748.

The spelling of 100895625 in words is "one hundred million, eight hundred ninety-five thousand, six hundred twenty-five".