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106083747025 = 52651412
BaseRepresentation
bin110001011001100010…
…1011000010011010001
3101010211011021201020121
41202303011120103101
53214224414401100
6120422330510241
710443565654204
oct1426305302321
9333734251217
10106083747025
1140a98567303
1218687295381
13a00804b259
1451c502d93b
152b5d3b651a
hex18b31584d1

106083747025 has 9 divisors (see below), whose sum is σ = 131545865713. Its totient is φ = 84865694800.

The previous prime is 106083747019. The next prime is 106083747041. The reversal of 106083747025 is 520747380601.

The square root of 106083747025 is 325705.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 19845202129 + 86238544896 = 140873^2 + 293664^2 .

It is not a de Polignac number, because 106083747025 - 23 = 106083747017 is a prime.

It is a super-2 number, since 2×1060837470252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1595955 + ... + 1661095.

Almost surely, 2106083747025 is an apocalyptic number.

106083747025 is the 325705-th square number.

106083747025 is the 162853-rd centered octagonal number.

It is an amenable number.

106083747025 is a deficient number, since it is larger than the sum of its proper divisors (25462118688).

106083747025 is an frugal number, since it uses more digits than its factorization.

106083747025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130292 (or 65146 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 106083747025 in words is "one hundred six billion, eighty-three million, seven hundred forty-seven thousand, twenty-five".

Divisors: 1 5 25 65141 325705 1628525 4243349881 21216749405 106083747025