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105660396 = 2233978337
BaseRepresentation
bin1100100110000…
…11111111101100
321100211002211000
412103003333230
5204022113041
614252400300
72422045542
oct623037754
9240732730
10105660396
1154708246
122b476090
1318b7605a
1410065d92
159421bb6
hex64c3fec

105660396 has 24 divisors (see below), whose sum is σ = 273934640. Its totient is φ = 35220096.

The previous prime is 105660391. The next prime is 105660409. The reversal of 105660396 is 693066501.

105660396 is a `hidden beast` number, since 1 + 0 + 566 + 0 + 3 + 96 = 666.

It is a super-3 number, since 3×1056603963 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 105660396.

It is not an unprimeable number, because it can be changed into a prime (105660391) 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, 489061 + ... + 489276.

Almost surely, 2105660396 is an apocalyptic number.

It is an amenable number.

105660396 is an abundant number, since it is smaller than the sum of its proper divisors (168274244).

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

105660396 is a wasteful number, since it uses less digits than its factorization.

105660396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978350 (or 978342 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 105660396 is about 10279.1242817664. The cubic root of 105660396 is about 472.7563939788.

The spelling of 105660396 in words is "one hundred five million, six hundred sixty thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 978337 1956674 2935011 3913348 5870022 8805033 11740044 17610066 26415099 35220132 52830198 105660396