103972 has 24 divisors (see below), whose sum is σ = 211680. Its totient is φ = 44160.

The previous prime is 103969. The next prime is 103979. The reversal of 103972 is 279301.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103979) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 679 + ... + 817.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2¹⁰³⁹⁷² is an apocalyptic number.

It is an amenable number.

103972 is an abundant number, since it is smaller than the sum of its proper divisors (107708).

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

103972 is a wasteful number, since it uses less digits than its factorization.

103972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 103972 is about 322.4468948525. The cubic root of 103972 is about 47.0224730313.

It can be divided in two parts, 1039 and 72, that added together give a palindrome (1111).

The spelling of 103972 in words is "one hundred three thousand, nine hundred seventy-two".