100225971 has 8 divisors (see below), whose sum is σ = 148482960. Its totient is φ = 66817296.

The previous prime is 100225919. The next prime is 100225997. The reversal of 100225971 is 179522001.

It is not a de Polignac number, because 100225971 - 2⁷ = 100225843 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3712073 = 100225971 / (1 + 0 + 0 + 2 + 2 + 5 + 9 + 7 + 1).

It is not an unprimeable number, because it can be changed into a prime (100225871) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1856010 + ... + 1856063.

It is an arithmetic number, because the mean of its divisors is an integer number (18560370).

Almost surely, 2^100225971 is an apocalyptic number.

100225971 is a deficient number, since it is larger than the sum of its proper divisors (48256989).

100225971 is an equidigital number, since it uses as much as digits as its factorization.

100225971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712082 (or 3712076 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 100225971 is about 10011.2921743399. The cubic root of 100225971 is about 464.5082418338.

Adding to 100225971 its reverse (179522001), we get a palindrome (279747972).

The spelling of 100225971 in words is "one hundred million, two hundred twenty-five thousand, nine hundred seventy-one".