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105977931423 = 373137922399
BaseRepresentation
bin110001010110011000…
…1101110011010011111
3101010112210011201112020
41202230301232122133
53214020322301143
6120404030511223
710441142361000
oct1425461563237
9333483151466
10105977931423
1140a438634a1
1218657965513
139cbc14c680
1451b4d671a7
152b53e63883
hex18acc6e69f

105977931423 has 32 divisors (see below), whose sum is σ = 177461760000. Its totient is φ = 55900440288.

The previous prime is 105977931403. The next prime is 105977931431. The reversal of 105977931423 is 324139779501.

It is not a de Polignac number, because 105977931423 - 218 = 105977669279 is a prime.

It is a super-2 number, since 2×1059779314232 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105977931403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3947823 + ... + 3974576.

It is an arithmetic number, because the mean of its divisors is an integer number (5545680000).

Almost surely, 2105977931423 is an apocalyptic number.

105977931423 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105977931423 is a deficient number, since it is larger than the sum of its proper divisors (71483828577).

105977931423 is an equidigital number, since it uses as much as digits as its factorization.

105977931423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7922436 (or 7922422 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 51.

The spelling of 105977931423 in words is "one hundred five billion, nine hundred seventy-seven million, nine hundred thirty-one thousand, four hundred twenty-three".

Divisors: 1 3 7 13 21 39 49 91 147 273 343 637 1029 1911 4459 13377 7922399 23767197 55456793 102991187 166370379 308973561 388197551 720938309 1164592653 2162814927 2717382857 5046568163 8152148571 15139704489 35325977141 105977931423