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105620005041 = 31743127601631
BaseRepresentation
bin110001001011101110…
…0010110000010110001
3101002121211200011211120
41202113130112002301
53212302210130131
6120304323132453
710426235141565
oct1422734260261
9332554604746
10105620005041
114087a815071
1218577b14129
139c62c4c705
14517d5d56a5
152b32811496
hex18977160b1

105620005041 has 64 divisors (see below), whose sum is σ = 154279673856. Its totient is φ = 64012032000.

The previous prime is 105620005037. The next prime is 105620005081. The reversal of 105620005041 is 140500026501.

It is not a de Polignac number, because 105620005041 - 22 = 105620005037 is a prime.

It is a super-2 number, since 2×1056200050412 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105620005021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 167384796 + ... + 167385426.

It is an arithmetic number, because the mean of its divisors is an integer number (2410619904).

Almost surely, 2105620005041 is an apocalyptic number.

It is an amenable number.

105620005041 is a deficient number, since it is larger than the sum of its proper divisors (48659668815).

105620005041 is a wasteful number, since it uses less digits than its factorization.

105620005041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422.

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 105620005041 in words is "one hundred five billion, six hundred twenty million, five thousand, forty-one".

Divisors: 1 3 17 43 51 127 129 381 601 631 731 1803 1893 2159 2193 5461 6477 10217 10727 16383 25843 27133 30651 32181 76327 77529 80137 81399 92837 228981 240411 278511 379231 439331 461261 1137693 1297559 1317993 1362329 1383783 3282061 3445891 3892677 4086987 6446927 9846183 10337673 16306933 19340781 48162337 48920799 55795037 58580147 144487011 167385111 175740441 277217861 818759729 831653583 2070980491 2456279187 6212941473 35206668347 105620005041