100926 has 40 divisors (see below), whose sum is σ = 261360. Its totient is φ = 28512.

The previous prime is 100913. The next prime is 100927. The reversal of 100926 is 629001.

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

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 100899 and 100908.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 100926.

It is not an unprimeable number, because it can be changed into a prime (100927) by changing a digit.

100926 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 19 ways as a sum of consecutive naturals, for example, 1090 + ... + 1178.

It is an arithmetic number, because the mean of its divisors is an integer number (6534).

2^{100926} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130680).

100926 is an abundant number, since it is smaller than the sum of its proper divisors (160434).

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

100926 is an equidigital number, since it uses as much as digits as its factorization.

100926 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 101 counting only the distinct ones).

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

The square root of 100926 is about 317.6885267050. The cubic root of 100926 is about 46.5587187446.

Adding to 100926 its reverse (629001), we get a palindrome (729927).

It can be divided in two parts, 1009 and 26, that added together give a triangular number (1035 = T_{45}).

The spelling of 100926 in words is "one hundred thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 89 126 162 178 189 267 378 534 567 623 801 1134 1246 1602 1869 2403 3738 4806 5607 7209 11214 14418 16821 33642 50463 100926

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