100152 has 48 divisors (see below), whose sum is σ = 294840. Its totient is φ = 30528.

The previous prime is 100151. The next prime is 100153. The reversal of 100152 is 251001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100151) and next prime (100153).

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

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 100152.

It is not an unprimeable number, because it can be changed into a prime (100151) 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, 883 + ... + 989.

2¹⁰⁰¹⁵² is an apocalyptic number.

100152 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 100152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147420).

100152 is an abundant number, since it is smaller than the sum of its proper divisors (194688).

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

100152 is a wasteful number, since it uses less digits than its factorization.

100152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 125 counting only the distinct ones).

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

The square root of 100152 is about 316.4680078618. The cubic root of 100152 is about 46.4393938141.

Adding to 100152 its reverse (251001), we get a palindrome (351153).

It can be divided in two parts, 100 and 152, that added together give a palindrome (252).

The spelling of 100152 in words is "one hundred thousand, one hundred fifty-two".