100172 has 12 divisors (see below), whose sum is σ = 178080. Its totient is φ = 49296.

The previous prime is 100169. The next prime is 100183. The reversal of 100172 is 271001.

100172 is nontrivially palindromic in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 158 + ... + 474.

It is an arithmetic number, because the mean of its divisors is an integer number (14840).

2¹⁰⁰¹⁷² is an apocalyptic number.

It is a pronic number, being equal to 316×317.

It is an amenable number.

100172 is a deficient number, since it is larger than the sum of its proper divisors (77908).

100172 is a wasteful number, since it uses less digits than its factorization.

100172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 100172 is about 316.4996050550. The cubic root of 100172 is about 46.4424848693.

Adding to 100172 its reverse (271001), we get a palindrome (371173).

It can be divided in two parts, 100 and 172, that added together give a palindrome (272).

The spelling of 100172 in words is "one hundred thousand, one hundred seventy-two", and thus it is an iban number.