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105823676 = 2273779417
BaseRepresentation
bin1100100111010…
…11110110111100
321101010101210102
412103223312330
5204042324201
614300100232
72423325560
oct623536674
9241111712
10105823676
1154809992
122b534678
1318c0247a
14100a96a0
15945526b
hex64ebdbc

105823676 has 12 divisors (see below), whose sum is σ = 211647408. Its totient is φ = 45352992.

The previous prime is 105823643. The next prime is 105823681. The reversal of 105823676 is 676328501.

105823676 is an admirable number.

It is a super-2 number, since 2×1058236762 = 22397300804305952, 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 3 ways as a sum of consecutive naturals, for example, 1889681 + ... + 1889736.

It is an arithmetic number, because the mean of its divisors is an integer number (17637284).

Almost surely, 2105823676 is an apocalyptic number.

It is an amenable number.

105823676 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

105823676 is a wasteful number, since it uses less digits than its factorization.

105823676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3779428 (or 3779426 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 105823676 is about 10287.0635265852. The cubic root of 105823676 is about 472.9997899243. Note that the first 3 decimals are identical.

The spelling of 105823676 in words is "one hundred five million, eight hundred twenty-three thousand, six hundred seventy-six".

Divisors: 1 2 4 7 14 28 3779417 7558834 15117668 26455919 52911838 105823676