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105561534 = 23131779609
BaseRepresentation
bin1100100101010…
…11110110111110
321100122002012110
412102223312332
5204010432114
614250314450
72421154401
oct622536676
9240562173
10105561534
115464aa41
122b428a26
1318b40060
141003bd38
159402759
hex64abdbe

105561534 has 32 divisors (see below), whose sum is σ = 240740640. Its totient is φ = 30569472.

The previous prime is 105561509. The next prime is 105561539. The reversal of 105561534 is 435165501.

It is a super-2 number, since 2×1055615342 = 22286474920866312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105561539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38479 + ... + 41130.

It is an arithmetic number, because the mean of its divisors is an integer number (7523145).

Almost surely, 2105561534 is an apocalyptic number.

105561534 is an abundant number, since it is smaller than the sum of its proper divisors (135179106).

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

105561534 is a wasteful number, since it uses less digits than its factorization.

105561534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79644.

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 105561534 is about 10274.3142836882. The cubic root of 105561534 is about 472.6089018601.

It can be divided in two parts, 10556 and 1534, that added together give a triangular number (12090 = T155).

The spelling of 105561534 in words is "one hundred five million, five hundred sixty-one thousand, five hundred thirty-four".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 663 1326 79609 159218 238827 477654 1034917 1353353 2069834 2706706 3104751 4060059 6209502 8120118 17593589 35187178 52780767 105561534