102960 has 120 divisors (see below), whose sum is σ = 406224. Its totient is φ = 23040.

The previous prime is 102953. The next prime is 102967. The reversal of 102960 is 69201.

It is an interprime number because it is at equal distance from previous prime (102953) and next prime (102967).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102960.

It is not an unprimeable number, because it can be changed into a prime (102967) by changing a digit.

102960 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 23 ways as a sum of consecutive naturals, for example, 7914 + ... + 7926.

2¹⁰²⁹⁶⁰ is an apocalyptic number.

102960 is a gapful number since it is divisible by the number (10) 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 102960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203112).

102960 is an abundant number, since it is smaller than the sum of its proper divisors (303264).

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

102960 is a wasteful number, since it uses less digits than its factorization.

102960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 102960 is about 320.8738069709. The cubic root of 102960 is about 46.8694126674.

It can be divided in two parts, 1029 and 60, that added together give a square (1089 = 33²).

The spelling of 102960 in words is "one hundred two thousand, nine hundred sixty".