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105000829 = 216148589
BaseRepresentation
bin1100100001000…
…10111101111101
321022120121001121
412100202331331
5203340011304
614230310541
72413330603
oct620427575
9238517047
10105000829
11542a774a
122b1b8451
13189a4a8b
14dd33873
159341554
hex6422f7d

105000829 has 4 divisors (see below), whose sum is σ = 105051580. Its totient is φ = 104950080.

The previous prime is 105000827. The next prime is 105000839. The reversal of 105000829 is 928000501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 67815225 + 37185604 = 8235^2 + 6098^2 .

It is a cyclic number.

It is not a de Polignac number, because 105000829 - 21 = 105000827 is a prime.

It is a super-2 number, since 2×1050008292 = 22050348181374482, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105000827) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22134 + ... + 26455.

It is an arithmetic number, because the mean of its divisors is an integer number (26262895).

Almost surely, 2105000829 is an apocalyptic number.

It is an amenable number.

105000829 is a deficient number, since it is larger than the sum of its proper divisors (50751).

105000829 is an equidigital number, since it uses as much as digits as its factorization.

105000829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50750.

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 105000829 is about 10246.9912169378. The cubic root of 105000829 is about 471.7706396056.

The spelling of 105000829 in words is "one hundred five million, eight hundred twenty-nine", and thus it is an aban number.

Divisors: 1 2161 48589 105000829