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106045543143 = 3329169379997
BaseRepresentation
bin110001011000011001…
…1101001001011100111
3101010201111101202101000
41202300303221023213
53214140124340033
6120414444004343
710442623146501
oct1426063511347
9333644352330
10106045543143
1140a78a43151
12186765306b3
13a0001630c7
1451bdd26d71
152b59d6ba13
hex18b0ce92e7

106045543143 has 32 divisors (see below), whose sum is σ = 162619934400. Its totient is φ = 68218028928.

The previous prime is 106045543111. The next prime is 106045543171. The reversal of 106045543143 is 341345540601.

106045543143 is a `hidden beast` number, since 1 + 0 + 60 + 4 + 554 + 3 + 1 + 43 = 666.

It is not a de Polignac number, because 106045543143 - 25 = 106045543111 is a prime.

It is a super-2 number, since 2×1060455431432 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106045543098 and 106045543107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106045542143) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1285621 + ... + 1365617.

It is an arithmetic number, because the mean of its divisors is an integer number (5081872950).

Almost surely, 2106045543143 is an apocalyptic number.

106045543143 is a deficient number, since it is larger than the sum of its proper divisors (56574391257).

106045543143 is a wasteful number, since it uses less digits than its factorization.

106045543143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81728 (or 81722 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 106045543143 in words is "one hundred six billion, forty-five million, five hundred forty-three thousand, one hundred forty-three".

Divisors: 1 3 9 27 29 87 261 783 1693 5079 15237 45711 49097 79997 147291 239991 441873 719973 1325619 2159919 2319913 6959739 20879217 62637651 135434921 406304763 1218914289 3656742867 3927612709 11782838127 35348514381 106045543143