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11105316 = 2233312107
BaseRepresentation
bin101010010111…
…010000100100
3202220012122000
4222113100210
510320332231
61034005300
7163252005
oct52272044
922805560
1011105316
1162a5652
123876830
1323ba9c1
1416911ac
15e956e6
hexa97424

11105316 has 72 divisors (see below), whose sum is σ = 30028320. Its totient is φ = 3548880.

The previous prime is 11105299. The next prime is 11105321. The reversal of 11105316 is 61350111.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103735 + ... + 103841.

It is an arithmetic number, because the mean of its divisors is an integer number (417060).

Almost surely, 211105316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11105316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15014160).

11105316 is an abundant number, since it is smaller than the sum of its proper divisors (18923004).

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

11105316 is a wasteful number, since it uses less digits than its factorization.

11105316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 11105316 is about 3332.4639532934. The cubic root of 11105316 is about 223.1055155643.

Adding to 11105316 its reverse (61350111), we get a palindrome (72455427).

The spelling of 11105316 in words is "eleven million, one hundred five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 107 108 124 186 214 279 321 372 428 558 642 837 961 963 1116 1284 1674 1922 1926 2883 2889 3317 3348 3844 3852 5766 5778 6634 8649 9951 11532 11556 13268 17298 19902 25947 29853 34596 39804 51894 59706 89559 102827 103788 119412 179118 205654 308481 358236 411308 616962 925443 1233924 1850886 2776329 3701772 5552658 11105316