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105342456534 = 2378592919853
BaseRepresentation
bin110001000011011100…
…1100101001011010110
3101001220111102020212020
41202012321211023112
53211220132102114
6120221010234010
710416325051350
oct1420671451326
9331814366766
10105342456534
1140748085837
12184bab85906
139c1a5b2b23
1451547c80d0
152b18289aa9
hex1886e652d6

105342456534 has 32 divisors (see below), whose sum is σ = 241063146240. Its totient is φ = 30062796192.

The previous prime is 105342456533. The next prime is 105342456559. The reversal of 105342456534 is 435654243501.

It is a super-2 number, since 2×1053424565342 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105342456533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1423849 + ... + 1496004.

It is an arithmetic number, because the mean of its divisors is an integer number (7533223320).

Almost surely, 2105342456534 is an apocalyptic number.

105342456534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105342456534 is an abundant number, since it is smaller than the sum of its proper divisors (135720689706).

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

105342456534 is a wasteful number, since it uses less digits than its factorization.

105342456534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920724.

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 105342456534 in words is "one hundred five billion, three hundred forty-two million, four hundred fifty-six thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 859 1718 2577 5154 6013 12026 18039 36078 2919853 5839706 8759559 17519118 20438971 40877942 61316913 122633826 2508153727 5016307454 7524461181 15048922362 17557076089 35114152178 52671228267 105342456534