101052 has 36 divisors (see below), whose sum is σ = 292656. Its totient is φ = 28800.

The previous prime is 101051. The next prime is 101063. The reversal of 101052 is 250101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52 + ... + 452.

2¹⁰¹⁰⁵² is an apocalyptic number.

101052 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 101052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146328).

101052 is an abundant number, since it is smaller than the sum of its proper divisors (191604).

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

101052 is a wasteful number, since it uses less digits than its factorization.

101052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 101052 is about 317.8867722948. The cubic root of 101052 is about 46.5780859344.

Adding to 101052 its reverse (250101), we get a palindrome (351153).

The spelling of 101052 in words is "one hundred one thousand, fifty-two".