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105047107 = 1137258101
BaseRepresentation
bin1100100001011…
…10010001000011
321022122221112121
412100232101003
5203343001412
614231305111
72413612534
oct620562103
9238587477
10105047107
11543294a0
122b21b197
13189bcb69
14dd4668b
159350107
hex642e443

105047107 has 8 divisors (see below), whose sum is σ = 117694512. Its totient is φ = 92916000.

The previous prime is 105047101. The next prime is 105047119. The reversal of 105047107 is 701740501.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105047107 is a prime.

It is a super-2 number, since 2×1050471072 = 22069789378138898, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105047101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128644 + ... + 129457.

It is an arithmetic number, because the mean of its divisors is an integer number (14711814).

Almost surely, 2105047107 is an apocalyptic number.

105047107 is a deficient number, since it is larger than the sum of its proper divisors (12647405).

105047107 is a wasteful number, since it uses less digits than its factorization.

105047107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258149.

The product of its (nonzero) digits is 980, while the sum is 25.

The square root of 105047107 is about 10249.2490944459. The cubic root of 105047107 is about 471.8399387250.

Adding to 105047107 its reverse (701740501), we get a palindrome (806787608).

The spelling of 105047107 in words is "one hundred five million, forty-seven thousand, one hundred seven".

Divisors: 1 11 37 407 258101 2839111 9549737 105047107