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105383532 = 22318894649
BaseRepresentation
bin1100100100000…
…00011001101100
321100022001000210
412102000121230
5203434233112
614242422420
72416513422
oct622003154
9240261023
10105383532
1154539231
122b361a10
1318aaa027
14ddd3112
1593b9b3c
hex648066c

105383532 has 24 divisors (see below), whose sum is σ = 246078000. Its totient is φ = 35101696.

The previous prime is 105383507. The next prime is 105383533. The reversal of 105383532 is 235383501.

It is a super-2 number, since 2×1053835322 = 22211377633590048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105383532.

It is not an unprimeable number, because it can be changed into a prime (105383533) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20344 + ... + 24992.

It is an arithmetic number, because the mean of its divisors is an integer number (10253250).

Almost surely, 2105383532 is an apocalyptic number.

105383532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105383532 is an abundant number, since it is smaller than the sum of its proper divisors (140694468).

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

105383532 is a wasteful number, since it uses less digits than its factorization.

105383532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6545 (or 6543 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 105383532 is about 10265.6481529419. The cubic root of 105383532 is about 472.3431085165.

The spelling of 105383532 in words is "one hundred five million, three hundred eighty-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 1889 3778 4649 5667 7556 9298 11334 13947 18596 22668 27894 55788 8781961 17563922 26345883 35127844 52691766 105383532