Search a number
-
+
105541434 = 2332384977
BaseRepresentation
bin1100100101001…
…10111100111010
321100121001122000
412102212330322
5204004311214
614250041430
72421041655
oct622467472
9240531560
10105541434
1154636929
122b419276
1318b33b6b
141003489c
1593eb809
hex64a6f3a

105541434 has 32 divisors (see below), whose sum is σ = 244736640. Its totient is φ = 33650496.

The previous prime is 105541399. The next prime is 105541477. The reversal of 105541434 is 434145501.

It is a happy number.

It is a super-2 number, since 2×1055414342 = 22277988581552712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 105541398 and 105541407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41247 + ... + 43730.

It is an arithmetic number, because the mean of its divisors is an integer number (7648020).

Almost surely, 2105541434 is an apocalyptic number.

105541434 is an abundant number, since it is smaller than the sum of its proper divisors (139195206).

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

105541434 is a wasteful number, since it uses less digits than its factorization.

105541434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85011 (or 85005 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 105541434 is about 10273.3360696514. The cubic root of 105541434 is about 472.5789034268.

Adding to 105541434 its reverse (434145501), we get a palindrome (539686935).

The spelling of 105541434 in words is "one hundred five million, five hundred forty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 1242 84977 169954 254931 509862 764793 1529586 1954471 2294379 3908942 4588758 5863413 11726826 17590239 35180478 52770717 105541434