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105459091460 = 22520992512127
BaseRepresentation
bin110001000110111011…
…0100000100000000100
3101002012121212220220022
41202031312200200010
53211440011411320
6120240334154312
710422242326022
oct1421566404004
9332177786808
10105459091460
11407a79a9338
1218532052998
139c387cc188
1451660a9712
152b23628325
hex188dda0804

105459091460 has 24 divisors (see below), whose sum is σ = 221569689600. Its totient is φ = 42163522784.

The previous prime is 105459091421. The next prime is 105459091489. The reversal of 105459091460 is 64190954501.

It is a super-2 number, since 2×1054590914602 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1214084 + ... + 1298043.

It is an arithmetic number, because the mean of its divisors is an integer number (9232070400).

Almost surely, 2105459091460 is an apocalyptic number.

105459091460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105459091460 is an abundant number, since it is smaller than the sum of its proper divisors (116110598140).

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

105459091460 is a wasteful number, since it uses less digits than its factorization.

105459091460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514235 (or 2514233 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 44.

The spelling of 105459091460 in words is "one hundred five billion, four hundred fifty-nine million, ninety-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 2099 4198 8396 10495 20990 41980 2512127 5024254 10048508 12560635 25121270 50242540 5272954573 10545909146 21091818292 26364772865 52729545730 105459091460