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105504190 = 25114720407
BaseRepresentation
bin1100100100111…
…01110110111110
321100112011112121
412102131312332
5204002113230
614245153154
72420525251
oct622356676
9240464477
10105504190
1154610950
122b3bb7ba
1318b1cc1c
1410025098
1593e077a
hex649ddbe

105504190 has 32 divisors (see below), whose sum is σ = 211590144. Its totient is φ = 37547040.

The previous prime is 105504181. The next prime is 105504229. The reversal of 105504190 is 91405501.

It is a super-2 number, since 2×1055041902 = 22262268215112200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 5034 + ... + 15373.

It is an arithmetic number, because the mean of its divisors is an integer number (6612192).

Almost surely, 2105504190 is an apocalyptic number.

105504190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105504190 is an abundant number, since it is smaller than the sum of its proper divisors (106085954).

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

105504190 is a wasteful number, since it uses less digits than its factorization.

105504190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20472.

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 105504190 is about 10271.5232560706. The cubic root of 105504190 is about 472.5233082014.

Adding to 105504190 its reverse (91405501), we get a palindrome (196909691).

The spelling of 105504190 in words is "one hundred five million, five hundred four thousand, one hundred ninety".

Divisors: 1 2 5 10 11 22 47 55 94 110 235 470 517 1034 2585 5170 20407 40814 102035 204070 224477 448954 959129 1122385 1918258 2244770 4795645 9591290 10550419 21100838 52752095 105504190