68100 has 36 divisors (see below), whose sum is σ = 197904. Its totient is φ = 18080.

The previous prime is 68099. The next prime is 68111. The reversal of 68100 is 186.

It is a super-2 number, since 2×68100² = 9275220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 68100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187 + ... + 413.

2⁶⁸¹⁰⁰ is an apocalyptic number.

68100 is a gapful number since it is divisible by the number (60) 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 68100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98952).

68100 is an abundant number, since it is smaller than the sum of its proper divisors (129804).

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

68100 is a wasteful number, since it uses less digits than its factorization.

68100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 68100 is about 260.9597670140. The cubic root of 68100 is about 40.8365493325.

Adding to 68100 its reverse (186), we get a palindrome (68286).

The spelling of 68100 in words is "sixty-eight thousand, one hundred".