Search a number
-
+
105319939 = 4113119609
BaseRepresentation
bin1100100011100…
…00111000000011
321100011210210111
412101300320003
5203430214224
614241212151
72416130134
oct621607003
9240153714
10105319939
11544a547a
122b331057
1318a870ba
14ddb7c8b
1593a5d94
hex6470e03

105319939 has 8 divisors (see below), whose sum is σ = 108717840. Its totient is φ = 101961600.

The previous prime is 105319937. The next prime is 105319969. The reversal of 105319939 is 939913501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105319939 - 21 = 105319937 is a prime.

It is a super-2 number, since 2×1053199392 = 22184579101927442, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105319937) 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, 4434 + ... + 15175.

It is an arithmetic number, because the mean of its divisors is an integer number (13589730).

Almost surely, 2105319939 is an apocalyptic number.

105319939 is a deficient number, since it is larger than the sum of its proper divisors (3397901).

105319939 is a wasteful number, since it uses less digits than its factorization.

105319939 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19781.

The product of its (nonzero) digits is 32805, while the sum is 40.

The square root of 105319939 is about 10262.5503165636. The cubic root of 105319939 is about 472.2480786170.

The spelling of 105319939 in words is "one hundred five million, three hundred nineteen thousand, nine hundred thirty-nine".

Divisors: 1 41 131 5371 19609 803969 2568779 105319939