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105050363 = 1137258109
BaseRepresentation
bin1100100001011…
…11000011111011
321022200010000012
412100233003323
5203343102423
614231332135
72413625165
oct620570373
9238603005
10105050363
1154330990
122b22104b
13189c14a2
14dd47935
159351078
hex642f0fb

105050363 has 8 divisors (see below), whose sum is σ = 117698160. Its totient is φ = 92918880.

The previous prime is 105050347. The next prime is 105050369. The reversal of 105050363 is 363050501.

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

It is a cyclic number.

It is not a de Polignac number, because 105050363 - 24 = 105050347 is a prime.

It is a super-2 number, since 2×1050503632 = 22071157532863538, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105050369) 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, 128648 + ... + 129461.

It is an arithmetic number, because the mean of its divisors is an integer number (14712270).

Almost surely, 2105050363 is an apocalyptic number.

105050363 is a deficient number, since it is larger than the sum of its proper divisors (12647797).

105050363 is a wasteful number, since it uses less digits than its factorization.

105050363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258157.

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 105050363 is about 10249.4079341199. The cubic root of 105050363 is about 471.8448136648.

The spelling of 105050363 in words is "one hundred five million, fifty thousand, three hundred sixty-three".

Divisors: 1 11 37 407 258109 2839199 9550033 105050363