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10107225 = 3252291549
BaseRepresentation
bin100110100011…
…100101011001
3201000111111200
4212203211121
510041412400
61000344413
7151624062
oct46434531
921014450
1010107225
115783787
123475109
13212b60b
1414b1569
15d49b00
hex9a3959

10107225 has 36 divisors (see below), whose sum is σ = 18739500. Its totient is φ = 5201280.

The previous prime is 10107211. The next prime is 10107233. The reversal of 10107225 is 52270101.

10107225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 447561 + 9659664 = 669^2 + 3108^2 .

It is not a de Polignac number, because 10107225 - 26 = 10107161 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10107198 and 10107207.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5751 + ... + 7299.

Almost surely, 210107225 is an apocalyptic number.

10107225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10107225 is a deficient number, since it is larger than the sum of its proper divisors (8632275).

10107225 is a wasteful number, since it uses less digits than its factorization.

10107225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 10107225 is about 3179.1862166284. The cubic root of 10107225 is about 216.2107639285.

Adding to 10107225 its reverse (52270101), we get a palindrome (62377326).

The spelling of 10107225 in words is "ten million, one hundred seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 145 225 261 435 725 1305 1549 2175 4647 6525 7745 13941 23235 38725 44921 69705 116175 134763 224605 348525 404289 673815 1123025 2021445 3369075 10107225