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105466004 = 22713128753
BaseRepresentation
bin1100100100101…
…00100010010100
321100110020011022
412102110202110
5203444403004
614244300312
72420306030
oct622244224
9240406138
10105466004
1154595196
122b3a1698
1318b08727
14100151c0
1593d42be
hex6494894

105466004 has 24 divisors (see below), whose sum is σ = 212549568. Its totient is φ = 44853120.

The previous prime is 105466001. The next prime is 105466013. The reversal of 105466004 is 400664501.

It is a happy number.

It is a super-2 number, since 2×1054660042 = 22246155999456032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105466001) 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, 10709 + ... + 18044.

It is an arithmetic number, because the mean of its divisors is an integer number (8856232).

Almost surely, 2105466004 is an apocalyptic number.

105466004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105466004 is an abundant number, since it is smaller than the sum of its proper divisors (107083564).

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

105466004 is a wasteful number, since it uses less digits than its factorization.

105466004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28895 (or 28893 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 105466004 is about 10269.6642593612. The cubic root of 105466004 is about 472.4662932386.

The spelling of 105466004 in words is "one hundred five million, four hundred sixty-six thousand, four".

Divisors: 1 2 4 7 14 28 131 262 524 917 1834 3668 28753 57506 115012 201271 402542 805084 3766643 7533286 15066572 26366501 52733002 105466004