Search a number
-
+
105091626 = 2359307967
BaseRepresentation
bin1100100001110…
…01001000101010
321022202012121110
412100321020222
5203400413001
614232251150
72414156403
oct620711052
9238665543
10105091626
1154359992
122b240ab6
1318a071c3
14dd589aa
15935d3d6
hex643922a

105091626 has 32 divisors (see below), whose sum is σ = 214663680. Its totient is φ = 34289136.

The previous prime is 105091583. The next prime is 105091627. The reversal of 105091626 is 626190501.

It is a super-2 number, since 2×1050916262 = 22088499710647752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105091593 and 105091602.

It is not an unprimeable number, because it can be changed into a prime (105091627) 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 15 ways as a sum of consecutive naturals, for example, 108195 + ... + 109161.

It is an arithmetic number, because the mean of its divisors is an integer number (6708240).

Almost surely, 2105091626 is an apocalyptic number.

105091626 is an abundant number, since it is smaller than the sum of its proper divisors (109572054).

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

105091626 is a wasteful number, since it uses less digits than its factorization.

105091626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 105091626 is about 10251.4206820323. The cubic root of 105091626 is about 471.9065846204.

The spelling of 105091626 in words is "one hundred five million, ninety-one thousand, six hundred twenty-six".

Divisors: 1 2 3 6 59 118 177 307 354 614 921 967 1842 1934 2901 5802 18113 36226 54339 57053 108678 114106 171159 296869 342318 593738 890607 1781214 17515271 35030542 52545813 105091626