100071875 has 24 divisors (see below), whose sum is σ = 129241728. Its totient is φ = 77400000.

The previous prime is 100071871. The next prime is 100071887. The reversal of 100071875 is 578170001.

It is not a de Polignac number, because 100071875 - 2² = 100071871 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100071871) 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, 96359 + ... + 97391.

It is an arithmetic number, because the mean of its divisors is an integer number (5385072).

Almost surely, 2^100071875 is an apocalyptic number.

100071875 is a deficient number, since it is larger than the sum of its proper divisors (29169853).

100071875 is an frugal number, since it uses more digits than its factorization.

100071875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 29.

The square root of 100071875 is about 10003.5931044800. The cubic root of 100071875 is about 464.2700614616.

The spelling of 100071875 in words is "one hundred million, seventy-one thousand, eight hundred seventy-five".