101673 has 24 divisors (see below), whose sum is σ = 174720. Its totient is φ = 56160.

The previous prime is 101663. The next prime is 101681. The reversal of 101673 is 376101.

It is not a de Polignac number, because 101673 - 2⁵ = 101641 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101603) 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, 1248 + ... + 1326.

It is an arithmetic number, because the mean of its divisors is an integer number (7280).

2¹⁰¹⁶⁷³ is an apocalyptic number.

101673 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101673 is a deficient number, since it is larger than the sum of its proper divisors (73047).

101673 is a wasteful number, since it uses less digits than its factorization.

101673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 101673 is about 318.8620391329. The cubic root of 101673 is about 46.6733040446.

Adding to 101673 its reverse (376101), we get a palindrome (477774).

It can be divided in two parts, 1016 and 73, that added together give a square (1089 = 33²).

The spelling of 101673 in words is "one hundred one thousand, six hundred seventy-three".