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10000107 = 3213127673
BaseRepresentation
bin100110001001…
…011011101011
3200211001120100
4212021123223
510030000412
6554200443
7150666555
oct46113353
920731510
1010000107
115710257
123423123
1320c1930
1414844d5
15d27edc
hex9896eb

10000107 has 24 divisors (see below), whose sum is σ = 15701504. Its totient is φ = 6096384.

The previous prime is 10000103. The next prime is 10000121. The reversal of 10000107 is 70100001.

Adding to 10000107 its reverse (70100001), we get a palindrome (80100108).

It is not a de Polignac number, because 10000107 - 22 = 10000103 is a prime.

It is a super-2 number, since 2×100001072 = 200004280022898, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (10000103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14523 + ... + 15195.

Almost surely, 210000107 is an apocalyptic number.

10000107 is a deficient number, since it is larger than the sum of its proper divisors (5701397).

10000107 is a wasteful number, since it uses less digits than its factorization.

10000107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 816 counting only the distinct ones).

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

The square root of 10000107 is about 3162.2945783086. The cubic root of 10000107 is about 215.4442374155. Note that the first 3 decimals are identical.

The spelling of 10000107 in words is "ten million, one hundred seven", and thus it is an aban number.

Divisors: 1 3 9 13 39 117 127 381 673 1143 1651 2019 4953 6057 8749 14859 26247 78741 85471 256413 769239 1111123 3333369 10000107