103152 has 40 divisors (see below), whose sum is σ = 305536. Its totient is φ = 29376.

The previous prime is 103141. The next prime is 103171. The reversal of 103152 is 251301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

103152 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, 183 + ... + 489.

2¹⁰³¹⁵² is an apocalyptic number.

103152 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 103152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152768).

103152 is an abundant number, since it is smaller than the sum of its proper divisors (202384).

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

103152 is a wasteful number, since it uses less digits than its factorization.

103152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 103152 is about 321.1728506583. The cubic root of 103152 is about 46.8985286324.

Adding to 103152 its reverse (251301), we get a palindrome (354453).

The spelling of 103152 in words is "one hundred three thousand, one hundred fifty-two".