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105010543242 = 232114112935519
BaseRepresentation
bin110000111001100011…
…1011011101010001010
3101001001100212022102100
41201303013123222022
53210030144340432
6120124032214230
710405154614203
oct1416307335212
9331040768370
10105010543242
1140597794430
121842799a376
139b968c0227
1451226a85aa
152ae907507c
hex18731dba8a

105010543242 has 48 divisors (see below), whose sum is σ = 254260581120. Its totient is φ = 31045243200.

The previous prime is 105010543223. The next prime is 105010543333. The reversal of 105010543242 is 242345010501.

105010543242 is a `hidden beast` number, since 105 + 0 + 10 + 543 + 2 + 4 + 2 = 666.

It is a super-2 number, since 2×1050105432422 (a number of 23 digits) contains 22 as substring.

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, 6459642 + ... + 6475877.

It is an arithmetic number, because the mean of its divisors is an integer number (5297095440).

Almost surely, 2105010543242 is an apocalyptic number.

105010543242 is an abundant number, since it is smaller than the sum of its proper divisors (149250037878).

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

105010543242 is a wasteful number, since it uses less digits than its factorization.

105010543242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12935579 (or 12935576 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 105010543242 its reverse (242345010501), we get a palindrome (347355553743).

The spelling of 105010543242 in words is "one hundred five billion, ten million, five hundred forty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 738 902 1353 2706 4059 8118 12935519 25871038 38806557 77613114 116419671 142290709 232839342 284581418 426872127 530356279 853744254 1060712558 1280616381 1591068837 2561232762 3182137674 4773206511 5833919069 9546413022 11667838138 17501757207 35003514414 52505271621 105010543242