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105061476 = 223135397131
BaseRepresentation
bin1100100001100…
…01110001100100
321022200200020210
412100301301210
5203343431401
614231455420
72414002452
oct620616144
9238620223
10105061476
1154339273
122b227570
13189c6570
14dd4b9d2
1593544d6
hex6431c64

105061476 has 96 divisors (see below), whose sum is σ = 273829248. Its totient is φ = 31150080.

The previous prime is 105061471. The next prime is 105061501. The reversal of 105061476 is 674160501.

It is a super-2 number, since 2×1050614762 = 22075827478597152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105061471) 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 31 ways as a sum of consecutive naturals, for example, 801931 + ... + 802061.

It is an arithmetic number, because the mean of its divisors is an integer number (2852388).

Almost surely, 2105061476 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 105061476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136914624).

105061476 is an abundant number, since it is smaller than the sum of its proper divisors (168767772).

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

105061476 is a wasteful number, since it uses less digits than its factorization.

105061476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 105061476 is about 10249.9500486588. The cubic root of 105061476 is about 471.8614514830.

It can be divided in two parts, 1050 and 61476, that added together give a palindrome (62526).

The spelling of 105061476 in words is "one hundred five million, sixty-one thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 97 106 131 156 159 194 212 262 291 318 388 393 524 582 636 689 786 1164 1261 1378 1572 1703 2067 2522 2756 3406 3783 4134 5044 5109 5141 6812 6943 7566 8268 10218 10282 12707 13886 15132 15423 20436 20564 20829 25414 27772 30846 38121 41658 50828 61692 66833 76242 83316 90259 133666 152484 165191 180518 200499 267332 270777 330382 361036 400998 495573 541554 660764 673471 801996 991146 1083108 1346942 1982292 2020413 2693884 4040826 8081652 8755123 17510246 26265369 35020492 52530738 105061476