100025965 has 24 divisors (see below), whose sum is σ = 135175320. Its totient is φ = 70629504.

The previous prime is 100025963. The next prime is 100025969. The reversal of 100025965 is 569520001.

It can be written as a sum of positive squares in 4 ways, for example, as 10666756 + 89359209 = 3266^2 + 9453^2 .

It is not a de Polignac number, because 100025965 - 2¹ = 100025963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100025963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32931 + ... + 35839.

It is an arithmetic number, because the mean of its divisors is an integer number (5632305).

Almost surely, 2^100025965 is an apocalyptic number.

It is an amenable number.

100025965 is a deficient number, since it is larger than the sum of its proper divisors (35149355).

100025965 is a wasteful number, since it uses less digits than its factorization.

100025965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 100025965 is about 10001.2981657383. The cubic root of 100025965 is about 464.1990528362.

Adding to 100025965 its reverse (569520001), we get a palindrome (669545966).

The spelling of 100025965 in words is "one hundred million, twenty-five thousand, nine hundred sixty-five".