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105455511342 = 23233739434409
BaseRepresentation
bin110001000110110100…
…0110110011100101110
3101002012101011000220100
41202031220312130232
53211433102330332
6120240125331530
710422200025246
oct1421550663456
9332171130810
10105455511342
11407a5983565
1218530a06ba6
139c37b4776c
145165816b26
152b2316c67c
hex188da3672e

105455511342 has 48 divisors (see below), whose sum is σ = 229275053280. Its totient is φ = 35030693376.

The previous prime is 105455511331. The next prime is 105455511373. The reversal of 105455511342 is 243115554501.

105455511342 is a `hidden beast` number, since 1 + 0 + 54 + 5 + 551 + 13 + 42 = 666.

It is a super-2 number, since 2×1054555113422 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105455511297 and 105455511306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23916034 + ... + 23920442.

It is an arithmetic number, because the mean of its divisors is an integer number (4776563610).

Almost surely, 2105455511342 is an apocalyptic number.

105455511342 is an abundant number, since it is smaller than the sum of its proper divisors (123819541938).

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

105455511342 is a wasteful number, since it uses less digits than its factorization.

105455511342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8697 (or 8694 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 105455511342 in words is "one hundred five billion, four hundred fifty-five million, five hundred eleven thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 337 674 1011 2022 3033 3943 4409 6066 7886 8818 11829 13227 23658 26454 35487 39681 70974 79362 1328791 1485833 2657582 2971666 3986373 4457499 7972746 8914998 11959119 13372497 17384687 23918238 26744994 34769374 52154061 104308122 156462183 312924366 5858639519 11717279038 17575918557 35151837114 52727755671 105455511342