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106610621061156 = 223371979616319687
BaseRepresentation
bin11000001111011000111000…
…001100101001100000100100
3111222110212122111002221112120
4120033120320030221200210
5102433202022442424111
61014424124310145540
731312235401061352
oct3017307014514044
9458425574087476
10106610621061156
1130a7334628a613
12bb59a293522b0
1347644526b16c4
141c47da56b47d2
15c4d2c0c61406
hex60f638329824

106610621061156 has 96 divisors (see below), whose sum is σ = 255664865111040. Its totient is φ = 34551583357824.

The previous prime is 106610621061151. The next prime is 106610621061157. The reversal of 106610621061156 is 651160126016601.

It is a super-2 number, since 2×1066106210611562 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106610621061151) 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, 5415270345 + ... + 5415290031.

It is an arithmetic number, because the mean of its divisors is an integer number (2663175678240).

Almost surely, 2106610621061156 is an apocalyptic number.

It is an amenable number.

106610621061156 is an abundant number, since it is smaller than the sum of its proper divisors (149054244049884).

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

106610621061156 is a wasteful number, since it uses less digits than its factorization.

106610621061156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27873 (or 27871 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

Adding to 106610621061156 its reverse (651160126016601), we get a palindrome (757770747077757).

The spelling of 106610621061156 in words is "one hundred six trillion, six hundred ten billion, six hundred twenty-one million, sixty-one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 1979 3958 5937 6163 7916 11874 12326 18489 19687 23748 24652 36978 39374 59061 73223 73956 78748 118122 146446 219669 228031 236244 292892 439338 456062 684093 728419 878676 912124 1368186 1456838 2185257 2736372 2913676 4370514 8741028 12196577 24393154 36589731 38960573 48786308 73179462 77921146 116881719 121330981 146358924 155842292 233763438 242661962 363992943 451273349 467526876 485323924 727985886 902546698 1353820047 1441541201 1455971772 1805093396 2707640094 2883082402 4324623603 4489246297 5415280188 5766164804 8649247206 8978492594 13467738891 17298494412 17956985188 26935477782 53870955564 240114011399 480228022798 720342034197 960456045596 1440684068394 2881368136788 8884218421763 17768436843526 26652655265289 35536873687052 53305310530578 106610621061156