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100914 = 23112139
BaseRepresentation
bin11000101000110010
312010102120
4120220302
511212124
62055110
7600132
oct305062
9163376
10100914
1169900
124a496
1336c18
1428ac2
151ed79
hex18a32

100914 has 24 divisors (see below), whose sum is σ = 223440. Its totient is φ = 30360.

The previous prime is 100913. The next prime is 100927. The reversal of 100914 is 419001.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100893 and 100902.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 100914.

It is not an unprimeable number, because it can be changed into a prime (100913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 657 + ... + 795.

It is an arithmetic number, because the mean of its divisors is an integer number (9310).

2100914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111720).

100914 is an abundant number, since it is smaller than the sum of its proper divisors (122526).

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

100914 is a wasteful number, since it uses less digits than its factorization.

100914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 100914 is about 317.6696397203. The cubic root of 100914 is about 46.5568734099.

Adding to 100914 its reverse (419001), we get a palindrome (519915).

The spelling of 100914 in words is "one hundred thousand, nine hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 121 139 242 278 363 417 726 834 1529 3058 4587 9174 16819 33638 50457 100914