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105382104 = 2334390921
BaseRepresentation
bin1100100100000…
…00000011011000
321100021222001220
412102000003120
5203434211404
614242412040
72416506312
oct622000330
9240258056
10105382104
1154538153
122b361020
1318aa9499
14ddd27b2
1593b94d9
hex64800d8

105382104 has 16 divisors (see below), whose sum is σ = 263455320. Its totient is φ = 35127360.

The previous prime is 105382097. The next prime is 105382117. The reversal of 105382104 is 401283501.

It is a super-2 number, since 2×1053821042 = 22210775686933632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 4390921 = 105382104 / (1 + 0 + 5 + 3 + 8 + 2 + 1 + 0 + 4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2195437 + ... + 2195484.

Almost surely, 2105382104 is an apocalyptic number.

It is an amenable number.

105382104 is an abundant number, since it is smaller than the sum of its proper divisors (158073216).

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

105382104 is a wasteful number, since it uses less digits than its factorization.

105382104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4390930 (or 4390926 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 105382104 is about 10265.5786003518. The cubic root of 105382104 is about 472.3409750111.

The spelling of 105382104 in words is "one hundred five million, three hundred eighty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 4390921 8781842 13172763 17563684 26345526 35127368 52691052 105382104