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105426435 = 35171093793
BaseRepresentation
bin1100100100010…
…10111000000011
321100101012212210
412102022320003
5203442121220
614243353203
72420052462
oct622127003
9240335783
10105426435
1154568494
122b382803
1318ac370a
14100049d9
1593c76e0
hex648ae03

105426435 has 32 divisors (see below), whose sum is σ = 180290880. Its totient is φ = 52420608.

The previous prime is 105426413. The next prime is 105426437. The reversal of 105426435 is 534624501.

It is not a de Polignac number, because 105426435 - 25 = 105426403 is a prime.

It is a super-2 number, since 2×1054264352 = 22229466393618450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105426437) 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, 25899 + ... + 29691.

It is an arithmetic number, because the mean of its divisors is an integer number (5634090).

Almost surely, 2105426435 is an apocalyptic number.

105426435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105426435 is a deficient number, since it is larger than the sum of its proper divisors (74864445).

105426435 is a wasteful number, since it uses less digits than its factorization.

105426435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3927.

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

The square root of 105426435 is about 10267.7375794281. The cubic root of 105426435 is about 472.4071988178.

The spelling of 105426435 in words is "one hundred five million, four hundred twenty-six thousand, four hundred thirty-five".

Divisors: 1 3 5 15 17 51 85 109 255 327 545 1635 1853 3793 5559 9265 11379 18965 27795 56895 64481 193443 322405 413437 967215 1240311 2067185 6201555 7028429 21085287 35142145 105426435