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105446424 = 233411011061
BaseRepresentation
bin1100100100011…
…11110000011000
321100102020022010
412102033300120
5203443241144
614244025520
72420164656
oct622176030
9240366263
10105446424
1154581506
122b3922a0
1318acc845
141000bdd6
1593cd5b9
hex648fc18

105446424 has 64 divisors (see below), whose sum is σ = 272976480. Its totient is φ = 33920000.

The previous prime is 105446413. The next prime is 105446477. The reversal of 105446424 is 424644501.

It is a happy number.

It is a super-2 number, since 2×1054464242 = 22237896668775552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105446391 and 105446400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98854 + ... + 99914.

Almost surely, 2105446424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105446424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136488240).

105446424 is an abundant number, since it is smaller than the sum of its proper divisors (167530056).

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

105446424 is a wasteful number, since it uses less digits than its factorization.

105446424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 105446424 is about 10268.7109220194. The cubic root of 105446424 is about 472.4370532870.

The spelling of 105446424 in words is "one hundred five million, four hundred forty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 101 123 164 202 246 303 328 404 492 606 808 984 1061 1212 2122 2424 3183 4141 4244 6366 8282 8488 12423 12732 16564 24846 25464 33128 43501 49692 87002 99384 107161 130503 174004 214322 261006 321483 348008 428644 522012 642966 857288 1044024 1285932 2571864 4393601 8787202 13180803 17574404 26361606 35148808 52723212 105446424