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105157734 = 23111593299
BaseRepresentation
bin1100100010010…
…01010001100110
321022212120021220
412101021101212
5203410021414
614233521210
72414553213
oct621112146
9238776256
10105157734
11543a4620
122b273206
1318a2b316
14dd74b0a
159372ca9
hex6449466

105157734 has 16 divisors (see below), whose sum is σ = 229435200. Its totient is φ = 31865960.

The previous prime is 105157709. The next prime is 105157739. The reversal of 105157734 is 437751501.

It is a super-2 number, since 2×1051577342 = 22116298040029512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 105157695 and 105157704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105157739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 796584 + ... + 796715.

It is an arithmetic number, because the mean of its divisors is an integer number (14339700).

Almost surely, 2105157734 is an apocalyptic number.

105157734 is an abundant number, since it is smaller than the sum of its proper divisors (124277466).

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

105157734 is a wasteful number, since it uses less digits than its factorization.

105157734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593315.

The product of its (nonzero) digits is 14700, while the sum is 33.

The square root of 105157734 is about 10254.6445087092. The cubic root of 105157734 is about 472.0055149935.

It can be divided in two parts, 1051 and 57734, that added together give a palindrome (58785).

The spelling of 105157734 in words is "one hundred five million, one hundred fifty-seven thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 1593299 3186598 4779897 9559794 17526289 35052578 52578867 105157734