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105227056 = 24113471723
BaseRepresentation
bin1100100010110…
…10001100110000
321100000002101101
412101122030300
5203414231211
614235214144
72415262264
oct621321460
9240002341
10105227056
1154441710
122b2a7354
1318a53a3c
14dd920a4
1593885c1
hex645a330

105227056 has 40 divisors (see below), whose sum is σ = 223182144. Its totient is φ = 47664960.

The previous prime is 105227053. The next prime is 105227071. The reversal of 105227056 is 650722501.

It is a super-2 number, since 2×1052270562 = 22145466628854272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105227053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60211 + ... + 61933.

Almost surely, 2105227056 is an apocalyptic number.

105227056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105227056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111591072).

105227056 is an abundant number, since it is smaller than the sum of its proper divisors (117955088).

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

105227056 is a wasteful number, since it uses less digits than its factorization.

105227056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 105227056 is about 10258.0239812549. The cubic root of 105227056 is about 472.1092105809.

Adding to 105227056 its reverse (650722501), we get a palindrome (755949557).

It can be divided in two parts, 10522 and 7056, that added together give a triangular number (17578 = T187).

The spelling of 105227056 in words is "one hundred five million, two hundred twenty-seven thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 176 347 694 1388 1723 2776 3446 3817 5552 6892 7634 13784 15268 18953 27568 30536 37906 61072 75812 151624 303248 597881 1195762 2391524 4783048 6576691 9566096 13153382 26306764 52613528 105227056