100271904 has 48 divisors (see below), whose sum is σ = 274663872. Its totient is φ = 31970048.

The previous prime is 100271893. The next prime is 100271909. The reversal of 100271904 is 409172001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (100271909) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20499 + ... + 24914.

It is an arithmetic number, because the mean of its divisors is an integer number (5722164).

Almost surely, 2^100271904 is an apocalyptic number.

It is an amenable number.

100271904 is an abundant number, since it is smaller than the sum of its proper divisors (174391968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100271904 is a wasteful number, since it uses less digits than its factorization.

100271904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45449 (or 45441 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 100271904 is about 10013.5859710695. The cubic root of 100271904 is about 464.5791915030.

The spelling of 100271904 in words is "one hundred million, two hundred seventy-one thousand, nine hundred four".