Search a number
-
+
105844739 = 71113412579
BaseRepresentation
bin1100100111100…
…01000000000011
321101011110200112
412103301000003
5204044012424
614300341535
72423444150
oct623610003
9241143615
10105844739
11548237a0
122b5448ab
1318c0bc30
14100b3227
15945b60e
hex64f1003

105844739 has 32 divisors (see below), whose sum is σ = 145635840. Its totient is φ = 74246400.

The previous prime is 105844733. The next prime is 105844787. The reversal of 105844739 is 937448501.

It is a cyclic number.

It is not a de Polignac number, because 105844739 - 24 = 105844723 is a prime.

It is a super-2 number, since 2×1058447392 = 22406217547956242, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a junction number, because it is equal to n+sod(n) for n = 105844696 and 105844705.

It is not an unprimeable number, because it can be changed into a prime (105844733) 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, 39752 + ... + 42330.

It is an arithmetic number, because the mean of its divisors is an integer number (4551120).

Almost surely, 2105844739 is an apocalyptic number.

105844739 is a deficient number, since it is larger than the sum of its proper divisors (39791101).

105844739 is a wasteful number, since it uses less digits than its factorization.

105844739 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651.

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 105844739 is about 10288.0872371885. The cubic root of 105844739 is about 473.0311695866.

The spelling of 105844739 in words is "one hundred five million, eight hundred forty-four thousand, seven hundred thirty-nine".

Divisors: 1 7 11 13 41 77 91 143 287 451 533 1001 2579 3157 3731 5863 18053 28369 33527 41041 105739 198583 234689 368797 740173 1163129 1374607 2581579 8141903 9622249 15120677 105844739