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105236378581 = 419601267341
BaseRepresentation
bin110001000000010010…
…0111011001111010101
3101001122002210221021011
41202000210323033111
53211011003103311
6120202300452221
710413566313235
oct1420044731725
9331562727234
10105236378581
11406a3212904
121848b54a071
139c016219c9
145144693cc5
152b0dcd4321
hex188093b3d5

105236378581 has 8 divisors (see below), whose sum is σ = 107814751128. Its totient is φ = 102658560000.

The previous prime is 105236378561. The next prime is 105236378591. The reversal of 105236378581 is 185873632501.

It can be written as a sum of positive squares in 4 ways, for example, as 29647674225 + 75588704356 = 172185^2 + 274934^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105236378581 - 25 = 105236378549 is a prime.

It is a super-2 number, since 2×1052363785812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105236378551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259971 + ... + 527311.

It is an arithmetic number, because the mean of its divisors is an integer number (13476843891).

Almost surely, 2105236378581 is an apocalyptic number.

It is an amenable number.

105236378581 is a deficient number, since it is larger than the sum of its proper divisors (2578372547).

105236378581 is an equidigital number, since it uses as much as digits as its factorization.

105236378581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276983.

The product of its (nonzero) digits is 1209600, while the sum is 49.

The spelling of 105236378581 in words is "one hundred five billion, two hundred thirty-six million, three hundred seventy-eight thousand, five hundred eighty-one".

Divisors: 1 41 9601 267341 393641 10960981 2566740941 105236378581