101172 has 12 divisors (see below), whose sum is σ = 236096. Its totient is φ = 33720.

The previous prime is 101161. The next prime is 101173. The reversal of 101172 is 271101.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 8431 = 101172 / (1 + 0 + 1 + 1 + 7 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101173) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4204 + ... + 4227.

2¹⁰¹¹⁷² is an apocalyptic number.

101172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101172 is an abundant number, since it is smaller than the sum of its proper divisors (134924).

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

101172 is a wasteful number, since it uses less digits than its factorization.

101172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8438 (or 8436 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 101172 is about 318.0754627443. The cubic root of 101172 is about 46.5965159153.

Adding to 101172 its reverse (271101), we get a palindrome (372273).

The spelling of 101172 in words is "one hundred one thousand, one hundred seventy-two", and thus it is an iban number.