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105004501 = 725340433
BaseRepresentation
bin1100100001000…
…11110111010101
321022120210002121
412100203313111
5203340121001
614230335541
72413344400
oct620436725
9238523077
10105004501
11542aa488
122b1ba5b1
13189a6654
14dd34d37
1593426a1
hex6423dd5

105004501 has 12 divisors (see below), whose sum is σ = 124455852. Its totient is φ = 88303488.

The previous prime is 105004463. The next prime is 105004513. The reversal of 105004501 is 105400501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 43758225 + 61246276 = 6615^2 + 7826^2 .

It is not a de Polignac number, because 105004501 - 27 = 105004373 is a prime.

It is a super-2 number, since 2×1050045012 = 22051890460518002, 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 (105004561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17620 + ... + 22813.

It is an arithmetic number, because the mean of its divisors is an integer number (10371321).

Almost surely, 2105004501 is an apocalyptic number.

It is an amenable number.

105004501 is a deficient number, since it is larger than the sum of its proper divisors (19451351).

105004501 is an equidigital number, since it uses as much as digits as its factorization.

105004501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40500 (or 40493 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 105004501 is about 10247.1703899174. The cubic root of 105004501 is about 471.7761389958.

It can be divided in two parts, 10 and 5004501, that multiplied together give a triangular number (50045010 = T10004).

The spelling of 105004501 in words is "one hundred five million, four thousand, five hundred one".

Divisors: 1 7 49 53 371 2597 40433 283031 1981217 2142949 15000643 105004501