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105458482380 = 223517611694929
BaseRepresentation
bin110001000110111010…
…0001011110011001100
3101002012120201222101210
41202031310023303030
53211434332414010
6120240313134420
710422234211206
oct1421564136314
9332176658353
10105458482380
11407a7622769
12185319ba410
139c38647b84
145165d8b776
152b23557b20
hex188dd0bccc

105458482380 has 96 divisors (see below), whose sum is σ = 317779035840. Its totient is φ = 26034094080.

The previous prime is 105458482357. The next prime is 105458482391. The reversal of 105458482380 is 83284854501.

105458482380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1054584823802 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 785245 + ... + 909684.

It is an arithmetic number, because the mean of its divisors is an integer number (3310198290).

Almost surely, 2105458482380 is an apocalyptic number.

105458482380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105458482380 is an abundant number, since it is smaller than the sum of its proper divisors (212320553460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105458482380 is a wasteful number, since it uses less digits than its factorization.

105458482380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695019 (or 1695017 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The spelling of 105458482380 in words is "one hundred five billion, four hundred fifty-eight million, four hundred eighty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 61 68 85 102 122 170 183 204 244 255 305 340 366 510 610 732 915 1020 1037 1220 1830 2074 3111 3660 4148 5185 6222 10370 12444 15555 20740 31110 62220 1694929 3389858 5084787 6779716 8474645 10169574 16949290 20339148 25423935 28813793 33898580 50847870 57627586 86441379 101695740 103390669 115255172 144068965 172882758 206781338 288137930 310172007 345765516 413562676 432206895 516953345 576275860 620344014 864413790 1033906690 1240688028 1550860035 1728827580 1757641373 2067813380 3101720070 3515282746 5272924119 6203440140 7030565492 8788206865 10545848238 17576413730 21091696476 26364620595 35152827460 52729241190 105458482380