103172 has 6 divisors (see below), whose sum is σ = 180558. Its totient is φ = 51584.

The previous prime is 103171. The next prime is 103177. The reversal of 103172 is 271301.

It can be written as a sum of positive squares in only one way, i.e., 65536 + 37636 = 256^2 + 194^2 .

It is a super-3 number, since 3×103172³ = 3294631171633344, which contains 333 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103172.

It is not an unprimeable number, because it can be changed into a prime (103171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12893 + ... + 12900.

It is an arithmetic number, because the mean of its divisors is an integer number (30093).

2¹⁰³¹⁷² is an apocalyptic number.

It is an amenable number.

103172 is a deficient number, since it is larger than the sum of its proper divisors (77386).

103172 is a wasteful number, since it uses less digits than its factorization.

103172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25797 (or 25795 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 103172 is about 321.2039850313. The cubic root of 103172 is about 46.9015594670.

Adding to 103172 its reverse (271301), we get a palindrome (374473).

The spelling of 103172 in words is "one hundred three thousand, one hundred seventy-two", and thus it is an iban number.