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105412303524 = 223117999710139
BaseRepresentation
bin110001000101100010…
…0000001101010100100
3101002002100211211220210
41202023010001222210
53211341022203044
6120231543255420
710421133540033
oct1421304015244
9332070754823
10105412303524
1140783551920
121851a44a570
139c2bbc9ac8
14515dbaa71a
152b1e4851b9
hex188b101aa4

105412303524 has 96 divisors (see below), whose sum is σ = 272018073600. Its totient is φ = 31504037760.

The previous prime is 105412303523. The next prime is 105412303553. The reversal of 105412303524 is 425303214501.

It is a super-2 number, since 2×1054123035242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105412303491 and 105412303500.

It is not an unprimeable number, because it can be changed into a prime (105412303523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10391647 + ... + 10401785.

It is an arithmetic number, because the mean of its divisors is an integer number (2833521600).

Almost surely, 2105412303524 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 105412303524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136009036800).

105412303524 is an abundant number, since it is smaller than the sum of its proper divisors (166605770076).

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

105412303524 is a wasteful number, since it uses less digits than its factorization.

105412303524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11233 (or 11231 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 105412303524 in words is "one hundred five billion, four hundred twelve million, three hundred three thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 237 316 474 869 948 997 1738 1994 2607 2991 3476 3988 5214 5982 10139 10428 10967 11964 20278 21934 30417 32901 40556 43868 60834 65802 78763 111529 121668 131604 157526 223058 236289 315052 334587 446116 472578 669174 800981 866393 945156 1338348 1601962 1732786 2402943 2599179 3203924 3465572 4805886 5198358 8810791 9611772 10108583 10396716 17621582 20217166 26432373 30325749 35243164 40434332 52864746 60651498 105729492 111194413 121302996 222388826 333583239 444777652 667166478 798578057 1334332956 1597156114 2395734171 3194312228 4791468342 8784358627 9582936684 17568717254 26353075881 35137434508 52706151762 105412303524