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106727011534 = 2111317103213119
BaseRepresentation
bin110001101100101101…
…1001111010011001110
3101012110222200221021001
41203121123033103032
53222034103332114
6121010230130514
710465536426013
oct1433133172316
9335428627231
10106727011534
1141298685470
12188267b0a3a
13a0ab3b4540
14524663970a
152b99acd374
hex18d96cf4ce

106727011534 has 64 divisors (see below), whose sum is σ = 201076162560. Its totient is φ = 41737029120.

The previous prime is 106727011511. The next prime is 106727011579. The reversal of 106727011534 is 435110727601.

106727011534 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1067270115342 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 106727011493 and 106727011502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394227 + ... + 607345.

It is an arithmetic number, because the mean of its divisors is an integer number (3141815040).

Almost surely, 2106727011534 is an apocalyptic number.

106727011534 is a deficient number, since it is larger than the sum of its proper divisors (94349151026).

106727011534 is a wasteful number, since it uses less digits than its factorization.

106727011534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213265.

The product of its (nonzero) digits is 35280, while the sum is 37.

The spelling of 106727011534 in words is "one hundred six billion, seven hundred twenty-seven million, eleven thousand, five hundred thirty-four".

Divisors: 1 2 11 13 17 22 26 34 103 143 187 206 221 286 374 442 1133 1339 1751 2266 2431 2678 3502 4862 14729 19261 22763 29458 38522 45526 213119 250393 426238 500786 2344309 2770547 3623023 4688618 5541094 7246046 21951257 30476017 39853253 43902514 47099299 60952034 79706506 94198598 241463827 285366341 373171369 482927654 518092289 570732682 746342738 1036184578 3139029751 4104885059 4851227797 6278059502 8209770118 9702455594 53363505767 106727011534