100680 has 32 divisors (see below), whose sum is σ = 302400. Its totient is φ = 26816.

The previous prime is 100673. The next prime is 100693. The reversal of 100680 is 86001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300 + ... + 539.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2¹⁰⁰⁶⁸⁰ is an apocalyptic number.

100680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100680 is an abundant number, since it is smaller than the sum of its proper divisors (201720).

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

100680 is a wasteful number, since it uses less digits than its factorization.

100680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 849 counting only the distinct ones).

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

The square root of 100680 is about 317.3011188130. The cubic root of 100680 is about 46.5208601053.

Adding to 100680 its reverse (86001), we get a palindrome (186681).

It can be divided in two parts, 100 and 680, that added together give a triangular number (780 = T₃₉).

The spelling of 100680 in words is "one hundred thousand, six hundred eighty".