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106235054116 = 221094214491289
BaseRepresentation
bin110001011110000011…
…0100100100000100100
3101011012200222220112221
41202330012210200210
53220032133212431
6120445333522124
710450414026562
oct1427406444044
9334180886487
10106235054116
1141065a11594
1218709aa3344
13a0304b7089
1451db178a32
152b6b803111
hex18bc1a4824

106235054116 has 48 divisors (see below), whose sum is σ = 188627670000. Its totient is φ = 52347617280.

The previous prime is 106235054089. The next prime is 106235054117. The reversal of 106235054116 is 611450532601.

It can be written as a sum of positive squares in 8 ways, for example, as 115476516 + 106119577600 = 10746^2 + 325760^2 .

It is a super-2 number, since 2×1062350541162 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106235054117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82416000 + ... + 82417288.

It is an arithmetic number, because the mean of its divisors is an integer number (3929743125).

Almost surely, 2106235054116 is an apocalyptic number.

It is an amenable number.

106235054116 is a deficient number, since it is larger than the sum of its proper divisors (82392615884).

106235054116 is a wasteful number, since it uses less digits than its factorization.

106235054116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

Adding to 106235054116 its reverse (611450532601), we get a palindrome (717685586717).

The spelling of 106235054116 in words is "one hundred six billion, two hundred thirty-five million, fifty-four thousand, one hundred sixteen".

Divisors: 1 2 4 109 218 421 436 449 842 898 1289 1684 1796 2578 5156 45889 48941 91778 97882 140501 183556 189029 195764 281002 378058 542669 562004 578761 756116 1085338 1157522 2170676 2315044 20604161 41208322 59150921 63084949 82416644 118301842 126169898 236603684 243658381 252339796 487316762 974633524 26558763529 53117527058 106235054116