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105000841 = 1149119441
BaseRepresentation
bin1100100001000…
…10111110001001
321022120121002001
412100202332021
5203340011331
614230311001
72413330621
oct620427611
9238517061
10105000841
11542a7760
122b1b8461
13189a4a9a
14dd33881
159341561
hex6422f89

105000841 has 8 divisors (see below), whose sum is σ = 114785568. Its totient is φ = 95256000.

The previous prime is 105000839. The next prime is 105000853. The reversal of 105000841 is 148000501.

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

It is a 3-Lehmer number, since φ(105000841) divides (105000841-1)3.

It is a cyclic number.

It is not a de Polignac number, because 105000841 - 21 = 105000839 is a prime.

It is a super-2 number, since 2×1050008412 = 22050353221414562, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105000811) 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, 4320 + ... + 15121.

It is an arithmetic number, because the mean of its divisors is an integer number (14348196).

Almost surely, 2105000841 is an apocalyptic number.

105000841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105000841 is a deficient number, since it is larger than the sum of its proper divisors (9784727).

105000841 is a wasteful number, since it uses less digits than its factorization.

105000841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19943.

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 105000841 is about 10246.9918024755. The cubic root of 105000841 is about 471.7706575777.

The spelling of 105000841 in words is "one hundred five million, eight hundred forty-one", and thus it is an aban number.

Divisors: 1 11 491 5401 19441 213851 9545531 105000841