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105525225 = 32521343839
BaseRepresentation
bin1100100101000…
…10111111101001
321100120020101200
412102202333221
5204003301400
614245434413
72420643501
oct622427751
9240506350
10105525225
1154625733
122b40ba09
1318b29680
141002ca01
1593e6b00
hex64a2fe9

105525225 has 72 divisors (see below), whose sum is σ = 208528320. Its totient is φ = 50682240.

The previous prime is 105525193. The next prime is 105525281. The reversal of 105525225 is 522525501.

It is not a de Polignac number, because 105525225 - 25 = 105525193 is a prime.

It is a super-2 number, since 2×1055252252 = 22271146222601250, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 125356 + ... + 126194.

Almost surely, 2105525225 is an apocalyptic number.

105525225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105525225 is a deficient number, since it is larger than the sum of its proper divisors (103003095).

105525225 is a wasteful number, since it uses less digits than its factorization.

105525225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 105525225 is about 10272.5471524837. The cubic root of 105525225 is about 472.5547093786.

The spelling of 105525225 in words is "one hundred five million, five hundred twenty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 43 45 65 75 117 129 195 215 225 325 387 559 585 645 839 975 1075 1677 1935 2517 2795 2925 3225 4195 5031 7551 8385 9675 10907 12585 13975 20975 25155 32721 36077 37755 41925 54535 62925 98163 108231 125775 163605 180385 188775 272675 324693 469001 490815 541155 818025 901925 1407003 1623465 2345005 2454075 2705775 4221009 7035015 8117325 11725025 21105045 35175075 105525225