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105000103 = 1318474373
BaseRepresentation
bin1100100001000…
…10110010100111
321022120120001201
412100202302213
5203340000403
614230303331
72413325515
oct620426247
9238516051
10105000103
11542a714a
122b1b7b47
13189a4650
14dd334b5
15934121d
hex6422ca7

105000103 has 8 divisors (see below), whose sum is σ = 113164128. Its totient is φ = 96848544.

The previous prime is 105000073. The next prime is 105000107. The reversal of 105000103 is 301000501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105000103 - 213 = 104991911 is a prime.

It is a super-2 number, since 2×1050001032 = 22050043260021218, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105000107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21825 + ... + 26197.

It is an arithmetic number, because the mean of its divisors is an integer number (14145516).

Almost surely, 2105000103 is an apocalyptic number.

105000103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105000103 is a deficient number, since it is larger than the sum of its proper divisors (8164025).

105000103 is a wasteful number, since it uses less digits than its factorization.

105000103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6233.

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 105000103 is about 10246.9557918437. The cubic root of 105000103 is about 471.7695522927.

Adding to 105000103 its reverse (301000501), we get a palindrome (406000604).

The spelling of 105000103 in words is "one hundred five million, one hundred three", and thus it is an aban number.

Divisors: 1 13 1847 4373 24011 56849 8076931 105000103