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105413945 = 57213231439
BaseRepresentation
bin1100100100001…
…11110100111001
321100100120202012
412102013310321
5203441221240
614243215305
72420001200
oct622076471
9240316665
10105413945
115455a06a
122b377535
1318abab20
1410000237
1593c3b65
hex6487d39

105413945 has 48 divisors (see below), whose sum is σ = 165473280. Its totient is φ = 63778176.

The previous prime is 105413929. The next prime is 105413953. The reversal of 105413945 is 549314501.

It is not a de Polignac number, because 105413945 - 24 = 105413929 is a prime.

It is a super-2 number, since 2×1054139452 = 22224199600926050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72536 + ... + 73974.

It is an arithmetic number, because the mean of its divisors is an integer number (3447360).

Almost surely, 2105413945 is an apocalyptic number.

It is an amenable number.

105413945 is a deficient number, since it is larger than the sum of its proper divisors (60059335).

105413945 is a wasteful number, since it uses less digits than its factorization.

105413945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 105413945 is about 10267.1293456350. The cubic root of 105413945 is about 472.3885425262.

The spelling of 105413945 in words is "one hundred five million, four hundred thirteen thousand, nine hundred forty-five".

Divisors: 1 5 7 13 23 35 49 65 91 115 161 245 299 455 637 805 1127 1439 1495 2093 3185 5635 7195 10073 10465 14651 18707 33097 50365 70511 73255 93535 130949 165485 231679 352555 430261 654745 916643 1158395 1621753 2151305 3011827 4583215 8108765 15059135 21082789 105413945