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10107 = 321123
BaseRepresentation
bin10011101111011
3111212100
42131323
5310412
6114443
741316
oct23573
914770
1010107
117659
125a23
1347a6
14397d
152edc
hex277b

10107 has 6 divisors (see below), whose sum is σ = 14612. Its totient is φ = 6732.

The previous prime is 10103. The next prime is 10111. The reversal of 10107 is 70101.

It is an interprime number because it is at equal distance from previous prime (10103) and next prime (10111).

It is not a de Polignac number, because 10107 - 22 = 10103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1123 = 10107 / (1 + 0 + 1 + 0 + 7).

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10107.

It is not an unprimeable number, because it can be changed into a prime (10103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 553 + ... + 570.

210107 is an apocalyptic number.

10107 is a deficient number, since it is larger than the sum of its proper divisors (4505).

10107 is a wasteful number, since it uses less digits than its factorization.

10107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 9.

The square root of 10107 is about 100.5335764807. The cubic root of 10107 is about 21.6209159539.

Adding to 10107 its reverse (70101), we get a palindrome (80208).

The spelling of 10107 in words is "ten thousand, one hundred seven", and thus it is an iban number.

Divisors: 1 3 9 1123 3369 10107