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105516342 = 23248712037
BaseRepresentation
bin1100100101000…
…00110100110110
321100112210012200
412102200310312
5204003010332
614245325330
72420605551
oct622406466
9240483180
10105516342
1154619a98
122b406846
1318b25609
1410029698
1593e417c
hex64a0d36

105516342 has 24 divisors (see below), whose sum is σ = 229107216. Its totient is φ = 35096976.

The previous prime is 105516283. The next prime is 105516361. The reversal of 105516342 is 243615501.

105516342 is a `hidden beast` number, since 10 + 551 + 63 + 42 = 666.

It is a super-2 number, since 2×1055163422 = 22267396858121928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2748 + ... + 14784.

It is an arithmetic number, because the mean of its divisors is an integer number (9546134).

Almost surely, 2105516342 is an apocalyptic number.

105516342 is an abundant number, since it is smaller than the sum of its proper divisors (123590874).

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

105516342 is a wasteful number, since it uses less digits than its factorization.

105516342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12532 (or 12529 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 105516342 is about 10272.1147773961. The cubic root of 105516342 is about 472.5414492907.

The spelling of 105516342 in words is "one hundred five million, five hundred sixteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 487 974 1461 2922 4383 8766 12037 24074 36111 72222 108333 216666 5862019 11724038 17586057 35172114 52758171 105516342