101948 has 24 divisors (see below), whose sum is σ = 223104. Its totient is φ = 39600.

The previous prime is 101939. The next prime is 101957. The reversal of 101948 is 849101.

It is an interprime number because it is at equal distance from previous prime (101939) and next prime (101957).

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101948.

It is an unprimeable number.

101948 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, 143 + ... + 473.

It is an arithmetic number, because the mean of its divisors is an integer number (9296).

2¹⁰¹⁹⁴⁸ 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 101948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111552).

101948 is an abundant number, since it is smaller than the sum of its proper divisors (121156).

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

101948 is a wasteful number, since it uses less digits than its factorization.

101948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 101948 is about 319.2929689173. The cubic root of 101948 is about 46.7153460289.

The spelling of 101948 in words is "one hundred one thousand, nine hundred forty-eight".