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105458213927 = 113607130531
BaseRepresentation
bin110001000110111001…
…1001010010000100111
3101002012120020100011002
41202031303022100213
53211434300321202
6120240303303515
710422232012433
oct1421563122047
9332176210132
10105458213927
11407a745a000
12185318aab9b
139c38582921
145165d1b9c3
152b23503302
hex188dcca427

105458213927 has 16 divisors (see below), whose sum is σ = 116188099584. Its totient is φ = 95712427800.

The previous prime is 105458213897. The next prime is 105458213977. The reversal of 105458213927 is 729312854501.

It is not a de Polignac number, because 105458213927 - 210 = 105458212903 is a prime.

It is a super-2 number, since 2×1054582139272 (a number of 23 digits) 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 (105458213977) 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 15 ways as a sum of consecutive naturals, for example, 742652 + ... + 873182.

It is an arithmetic number, because the mean of its divisors is an integer number (7261756224).

Almost surely, 2105458213927 is an apocalyptic number.

105458213927 is a deficient number, since it is larger than the sum of its proper divisors (10729885657).

105458213927 is an equidigital number, since it uses as much as digits as its factorization.

105458213927 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131171 (or 131149 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 47.

The spelling of 105458213927 in words is "one hundred five billion, four hundred fifty-eight million, two hundred thirteen thousand, nine hundred twenty-seven".

Divisors: 1 11 121 607 1331 6677 73447 130531 807917 1435841 15794251 79232317 173736761 871555487 9587110357 105458213927