100013025 has 48 divisors (see below), whose sum is σ = 195523200. Its totient is φ = 44136960.

The previous prime is 100013021. The next prime is 100013027. The reversal of 100013025 is 520310001.

It is not a de Polignac number, because 100013025 - 2² = 100013021 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100013025.

It is not an unprimeable number, because it can be changed into a prime (100013021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11941 + ... + 18509.

It is an arithmetic number, because the mean of its divisors is an integer number (4073400).

Almost surely, 2^100013025 is an apocalyptic number.

100013025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100013025 is a deficient number, since it is larger than the sum of its proper divisors (95510175).

100013025 is a wasteful number, since it uses less digits than its factorization.

100013025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6618 (or 6613 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 100013025 is about 10000.6512287951. The cubic root of 100013025 is about 464.1790347179.

Adding to 100013025 its reverse (520310001), we get a palindrome (620323026).

The spelling of 100013025 in words is "one hundred million, thirteen thousand, twenty-five".