Search a number
-
+
105886356 = 22359347431
BaseRepresentation
bin1100100111110…
…11001010010100
321101020120202220
412103323022110
5204101330411
614301302340
72424006402
oct623731224
9241216686
10105886356
1154851a94
122b5649b0
1318c24b64
14100c4472
159468b06
hex64fb294

105886356 has 48 divisors (see below), whose sum is σ = 252564480. Its totient is φ = 34516960.

The previous prime is 105886351. The next prime is 105886379. The reversal of 105886356 is 653688501.

It is a super-2 number, since 2×1058863562 = 22423840773917472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105886351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245461 + ... + 245891.

It is an arithmetic number, because the mean of its divisors is an integer number (5261760).

Almost surely, 2105886356 is an apocalyptic number.

It is an amenable number.

105886356 is an abundant number, since it is smaller than the sum of its proper divisors (146678124).

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

105886356 is a wasteful number, since it uses less digits than its factorization.

105886356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 105886356 is about 10290.1096204074. The cubic root of 105886356 is about 473.0931583663.

The spelling of 105886356 in words is "one hundred five million, eight hundred eighty-six thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 12 59 118 177 236 347 354 431 694 708 862 1041 1293 1388 1724 2082 2586 4164 5172 20473 25429 40946 50858 61419 76287 81892 101716 122838 149557 152574 245676 299114 305148 448671 598228 897342 1794684 8823863 17647726 26471589 35295452 52943178 105886356