100110 has 32 divisors (see below), whose sum is σ = 248832. Its totient is φ = 25760.

The previous prime is 100109. The next prime is 100129. The reversal of 100110 is 11001.

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.

100110 is a modest number, since divided by 110 gives 10 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 100095 and 100104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1375 + ... + 1445.

It is an arithmetic number, because the mean of its divisors is an integer number (7776).

2¹⁰⁰¹¹⁰ is an apocalyptic number.

100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124416).

100110 is an abundant number, since it is smaller than the sum of its proper divisors (148722).

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

100110 is a wasteful number, since it uses less digits than its factorization.

100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128.

The product of its (nonzero) digits is 1, while the sum is 3.

The square root of 100110 is about 316.4016434850. The cubic root of 100110 is about 46.4329012586.

Adding to 100110 its reverse (11001), we get a palindrome (111111).

It can be divided in two parts, 100 and 110, that added together give a triangular number (210 = T₂₀).

The spelling of 100110 in words is "one hundred thousand, one hundred ten", and thus it is an iban number.