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105660345 = 3573727197
BaseRepresentation
bin1100100110000…
…11111110111001
321100211002202010
412103003332321
5204022112340
614252400133
72422045440
oct623037671
9240732663
10105660345
11547081aa
122b476049
1318b7601b
1410065d57
159421b80
hex64c3fb9

105660345 has 32 divisors (see below), whose sum is σ = 198436608. Its totient is φ = 46994688.

The previous prime is 105660341. The next prime is 105660353. The reversal of 105660345 is 543066501.

It is not a de Polignac number, because 105660345 - 22 = 105660341 is a prime.

It is a super-2 number, since 2×1056603452 = 22328217011038050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105660341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9714 + ... + 17483.

It is an arithmetic number, because the mean of its divisors is an integer number (6201144).

Almost surely, 2105660345 is an apocalyptic number.

105660345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105660345 is a deficient number, since it is larger than the sum of its proper divisors (92776263).

105660345 is a wasteful number, since it uses less digits than its factorization.

105660345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27249.

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 105660345 is about 10279.1218010100. The cubic root of 105660345 is about 472.7563179157.

The spelling of 105660345 in words is "one hundred five million, six hundred sixty thousand, three hundred forty-five".

Divisors: 1 3 5 7 15 21 35 37 105 111 185 259 555 777 1295 3885 27197 81591 135985 190379 407955 571137 951895 1006289 2855685 3018867 5031445 7044023 15094335 21132069 35220115 105660345