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105471816 = 23310694111
BaseRepresentation
bin1100100100101…
…01111101001000
321100110112010120
412102111331020
5204000044231
614244343240
72420332002
oct622257510
9240415116
10105471816
115459959a
122b3a4b20
1318b0b278
1410017372
1593d5d96
hex6495f48

105471816 has 32 divisors (see below), whose sum is σ = 263990400. Its totient is φ = 35115840.

The previous prime is 105471809. The next prime is 105471823. The reversal of 105471816 is 618174501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105471809) and next prime (105471823).

It is a super-2 number, since 2×1054718162 = 22248607940675712, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23601 + ... + 27711.

It is an arithmetic number, because the mean of its divisors is an integer number (8249700).

Almost surely, 2105471816 is an apocalyptic number.

It is an amenable number.

105471816 is an abundant number, since it is smaller than the sum of its proper divisors (158518584).

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

105471816 is a wasteful number, since it uses less digits than its factorization.

105471816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5189 (or 5185 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 105471816 is about 10269.9472247914. The cubic root of 105471816 is about 472.4749719393.

The spelling of 105471816 in words is "one hundred five million, four hundred seventy-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 1069 2138 3207 4111 4276 6414 8222 8552 12333 12828 16444 24666 25656 32888 49332 98664 4394659 8789318 13183977 17578636 26367954 35157272 52735908 105471816