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105789099725 = 52231079191871
BaseRepresentation
bin110001010000110000…
…1011000111011001101
3101010001121212002010122
41202201201120323031
53213124002142400
6120333203314325
710433360340161
oct1424141307315
9333047762118
10105789099725
1140957209441
121860467b9a5
139c8bca593a
145197c50ca1
152b425b3685
hex18a1858ecd

105789099725 has 48 divisors (see below), whose sum is σ = 138385428480. Its totient is φ = 80065022400.

The previous prime is 105789099719. The next prime is 105789099733. The reversal of 105789099725 is 527990987501.

It is not a de Polignac number, because 105789099725 - 226 = 105721990861 is a prime.

It is a super-2 number, since 2×1057890997252 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 56540540 + ... + 56542410.

It is an arithmetic number, because the mean of its divisors is an integer number (2883029760).

Almost surely, 2105789099725 is an apocalyptic number.

It is an amenable number.

105789099725 is a deficient number, since it is larger than the sum of its proper divisors (32596328755).

105789099725 is a wasteful number, since it uses less digits than its factorization.

105789099725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 62.

The spelling of 105789099725 in words is "one hundred five billion, seven hundred eighty-nine million, ninety-nine thousand, seven hundred twenty-five".

Divisors: 1 5 23 25 107 115 535 575 919 1871 2461 2675 4595 9355 12305 21137 22975 43033 46775 61525 98333 105685 200197 215165 491665 528425 1000985 1075825 1719449 2261659 2458325 4604531 5004925 8597245 11308295 23022655 39547327 42986225 56541475 115113275 183981043 197736635 919905215 988683175 4231563989 4599526075 21157819945 105789099725