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105472668 = 22373793313
BaseRepresentation
bin1100100100101…
…10001010011100
321100110120022010
412102112022130
5204000111133
614244351220
72420334330
oct622261234
9240416263
10105472668
115459a1a4
122b3a5510
1318b0b782
14100177c0
1593d6263
hex649629c

105472668 has 48 divisors (see below), whose sum is σ = 282087680. Its totient is φ = 30046464.

The previous prime is 105472657. The next prime is 105472669. The reversal of 105472668 is 866274501.

It is a super-2 number, since 2×1054726682 = 22248967390076448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105472669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30180 + ... + 33492.

Almost surely, 2105472668 is an apocalyptic number.

It is an amenable number.

105472668 is an abundant number, since it is smaller than the sum of its proper divisors (176615012).

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

105472668 is a wasteful number, since it uses less digits than its factorization.

105472668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3706 (or 3704 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 105472668 is about 10269.9887049597. The cubic root of 105472668 is about 472.4762441515.

The spelling of 105472668 in words is "one hundred five million, four hundred seventy-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 379 758 1137 1516 2274 2653 3313 4548 5306 6626 7959 9939 10612 13252 15918 19878 23191 31836 39756 46382 69573 92764 139146 278292 1255627 2511254 3766881 5022508 7533762 8789389 15067524 17578778 26368167 35157556 52736334 105472668