100109271 has 24 divisors (see below), whose sum is σ = 147035520. Its totient is φ = 60462864.

The previous prime is 100109267. The next prime is 100109279. The reversal of 100109271 is 172901001.

It is not a de Polignac number, because 100109271 - 2² = 100109267 is a prime.

It is a super-2 number, since 2×100109271² = 20043732280302882, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100109279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22900 + ... + 26918.

It is an arithmetic number, because the mean of its divisors is an integer number (6126480).

Almost surely, 2^100109271 is an apocalyptic number.

100109271 is a deficient number, since it is larger than the sum of its proper divisors (46926249).

100109271 is a wasteful number, since it uses less digits than its factorization.

100109271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083 (or 4064 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 21.

The square root of 100109271 is about 10005.4620582960. The cubic root of 100109271 is about 464.3278855039.

The spelling of 100109271 in words is "one hundred million, one hundred nine thousand, two hundred seventy-one".