101928 has 32 divisors (see below), whose sum is σ = 264960. Its totient is φ = 32640.

The previous prime is 101921. The next prime is 101929. The reversal of 101928 is 829101.

It is not an unprimeable number, because it can be changed into a prime (101921) 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, 676 + ... + 812.

It is an arithmetic number, because the mean of its divisors is an integer number (8280).

2¹⁰¹⁹²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132480).

101928 is an abundant number, since it is smaller than the sum of its proper divisors (163032).

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

101928 is a wasteful number, since it uses less digits than its factorization.

101928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 101928 is about 319.2616481822. The cubic root of 101928 is about 46.7122909811.

The spelling of 101928 in words is "one hundred one thousand, nine hundred twenty-eight".