101672 has 16 divisors (see below), whose sum is σ = 194400. Its totient is φ = 49840.

The previous prime is 101663. The next prime is 101681. The reversal of 101672 is 276101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101663) and next prime (101681).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 101672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 479 + ... + 657.

It is an arithmetic number, because the mean of its divisors is an integer number (12150).

2¹⁰¹⁶⁷² is an apocalyptic number.

It is an amenable number.

101672 is a deficient number, since it is larger than the sum of its proper divisors (92728).

101672 is a wasteful number, since it uses less digits than its factorization.

101672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 101672 is about 318.8604710528. The cubic root of 101672 is about 46.6731510264.

Adding to 101672 its reverse (276101), we get a palindrome (377773).

The spelling of 101672 in words is "one hundred one thousand, six hundred seventy-two".