102000 has 80 divisors (see below), whose sum is σ = 348192. Its totient is φ = 25600.

The previous prime is 101999. The next prime is 102001. The reversal of 102000 is 201.

It is an interprime number because it is at equal distance from previous prime (101999) and next prime (102001).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5992 + ... + 6008.

2¹⁰²⁰⁰⁰ is an apocalyptic number.

102000 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 102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174096).

102000 is an abundant number, since it is smaller than the sum of its proper divisors (246192).

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

102000 is a wasteful number, since it uses less digits than its factorization.

102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 3.

The square root of 102000 is about 319.3743884534. The cubic root of 102000 is about 46.7232872836.

Adding to 102000 its reverse (201), we get a palindrome (102201).

The spelling of 102000 in words is "one hundred two thousand", and thus it is an iban number.