101152 has 24 divisors (see below), whose sum is σ = 207900. Its totient is φ = 48384.

The previous prime is 101149. The next prime is 101159. The reversal of 101152 is 251101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 99856 + 1296 = 316^2 + 36^2 .

It is not an unprimeable number, because it can be changed into a prime (101159) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 874 + ... + 982.

2¹⁰¹¹⁵² 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 101152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103950).

101152 is an abundant number, since it is smaller than the sum of its proper divisors (106748).

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

101152 is a wasteful number, since it uses less digits than its factorization.

101152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

The square root of 101152 is about 318.0440221101. The cubic root of 101152 is about 46.5934452642.

Adding to 101152 its reverse (251101), we get a palindrome (352253).

It can be divided in two parts, 101 and 152, that added together give a triangular number (253 = T₂₂).

The spelling of 101152 in words is "one hundred one thousand, one hundred fifty-two".