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105464716 = 22710093733
BaseRepresentation
bin1100100100101…
…00001110001100
321100110011101121
412102110032030
5203444332331
614244250324
72420302210
oct622241614
9240404347
10105464716
1154594225
122b3a09a4
1318b07c76
1410014940
1593d3c11
hex649438c

105464716 has 24 divisors (see below), whose sum is σ = 211195040. Its totient is φ = 45142272.

The previous prime is 105464713. The next prime is 105464741. The reversal of 105464716 is 617464501.

It is a super-2 number, since 2×1054647162 = 22245612641921312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105464713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26386 + ... + 30118.

Almost surely, 2105464716 is an apocalyptic number.

It is an amenable number.

105464716 is an abundant number, since it is smaller than the sum of its proper divisors (105730324).

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

105464716 is a wasteful number, since it uses less digits than its factorization.

105464716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4753 (or 4751 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 105464716 is about 10269.6015502063. The cubic root of 105464716 is about 472.4643699046.

The spelling of 105464716 in words is "one hundred five million, four hundred sixty-four thousand, seven hundred sixteen".

Divisors: 1 2 4 7 14 28 1009 2018 3733 4036 7063 7466 14126 14932 26131 28252 52262 104524 3766597 7533194 15066388 26366179 52732358 105464716