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10107261 = 34124781
BaseRepresentation
bin100110100011…
…100101111101
3201000111120000
4212203211331
510041413021
61000344513
7151624143
oct46434575
921014500
1010107261
11578380a
123475139
13212b638
1414b1593
15d49b26
hex9a397d

10107261 has 10 divisors (see below), whose sum is σ = 15098622. Its totient is φ = 6738120.

The previous prime is 10107247. The next prime is 10107269. The reversal of 10107261 is 16270101.

It can be written as a sum of positive squares in only one way, i.e., 9036036 + 1071225 = 3006^2 + 1035^2 .

It is not a de Polignac number, because 10107261 - 27 = 10107133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10107269) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 62310 + ... + 62471.

Almost surely, 210107261 is an apocalyptic number.

It is an amenable number.

10107261 is a deficient number, since it is larger than the sum of its proper divisors (4991361).

10107261 is an equidigital number, since it uses as much as digits as its factorization.

10107261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124793 (or 124784 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 10107261 is about 3179.1918784496. The cubic root of 10107261 is about 216.2110206287.

Adding to 10107261 its reverse (16270101), we get a palindrome (26377362).

The spelling of 10107261 in words is "ten million, one hundred seven thousand, two hundred sixty-one".

Divisors: 1 3 9 27 81 124781 374343 1123029 3369087 10107261