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104788541 = 1121366617
BaseRepresentation
bin1100011111011…
…11001000111101
321022011210212002
412033233020331
5203311213131
614221552045
72411454644
oct617571075
9238153762
10104788541
1154172200
122b115625
131892c270
14dcba35b
1592ed6cb
hex63ef23d

104788541 has 12 divisors (see below), whose sum is σ = 124042716. Its totient is φ = 87933120.

The previous prime is 104788517. The next prime is 104788559. The reversal of 104788541 is 145887401.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4368100 + 100420441 = 2090^2 + 10021^2 .

It is not a de Polignac number, because 104788541 - 218 = 104526397 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 104788495 and 104788504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104788501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31736 + ... + 34881.

It is an arithmetic number, because the mean of its divisors is an integer number (10336893).

Almost surely, 2104788541 is an apocalyptic number.

104788541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104788541 is a deficient number, since it is larger than the sum of its proper divisors (19254175).

104788541 is a wasteful number, since it uses less digits than its factorization.

104788541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66652 (or 66641 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 38.

The square root of 104788541 is about 10236.6274231311. The cubic root of 104788541 is about 471.4524871465.

The spelling of 104788541 in words is "one hundred four million, seven hundred eighty-eight thousand, five hundred forty-one".

Divisors: 1 11 13 121 143 1573 66617 732787 866021 8060657 9526231 104788541