100193875 has 8 divisors (see below), whose sum is σ = 125042112. Its totient is φ = 80155000.

The previous prime is 100193861. The next prime is 100193879. The reversal of 100193875 is 578391001.

It is a happy number.

It is not a de Polignac number, because 100193875 - 2⁵ = 100193843 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100193875.

It is not an unprimeable number, because it can be changed into a prime (100193879) 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, 400651 + ... + 400900.

It is an arithmetic number, because the mean of its divisors is an integer number (15630264).

Almost surely, 2^100193875 is an apocalyptic number.

100193875 is a deficient number, since it is larger than the sum of its proper divisors (24848237).

100193875 is an frugal number, since it uses more digits than its factorization.

100193875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801566 (or 801556 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 34.

The square root of 100193875 is about 10009.6890561096. The cubic root of 100193875 is about 464.4586523973.

The spelling of 100193875 in words is "one hundred million, one hundred ninety-three thousand, eight hundred seventy-five".