101972 has 24 divisors (see below), whose sum is σ = 201096. Its totient is φ = 44928.

The previous prime is 101963. The next prime is 101977. The reversal of 101972 is 279101.

It can be written as a sum of positive squares in 4 ways, for example, as 26896 + 75076 = 164^2 + 274^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101977) by changing a digit.

101972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1898 + ... + 1950.

It is an arithmetic number, because the mean of its divisors is an integer number (8379).

2¹⁰¹⁹⁷² is an apocalyptic number.

It is an amenable number.

101972 is a deficient number, since it is larger than the sum of its proper divisors (99124).

101972 is a wasteful number, since it uses less digits than its factorization.

101972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 101972 is about 319.3305497443. The cubic root of 101972 is about 46.7190115588.

The spelling of 101972 in words is "one hundred one thousand, nine hundred seventy-two".