101952 has 56 divisors (see below), whose sum is σ = 304800. Its totient is φ = 33408.

The previous prime is 101939. The next prime is 101957. The reversal of 101952 is 259101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101957) by changing a digit.

101952 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, 1699 + ... + 1757.

2¹⁰¹⁹⁵² is an apocalyptic number.

101952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152400).

101952 is an abundant number, since it is smaller than the sum of its proper divisors (202848).

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

101952 is an equidigital number, since it uses as much as digits as its factorization.

101952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 101952 is about 319.2992326956. The cubic root of 101952 is about 46.7159569905.

The spelling of 101952 in words is "one hundred one thousand, nine hundred fifty-two".