Search a number
-
+
105604569901 = 1018783119047
BaseRepresentation
bin110001001011010000…
…1011101101100101101
3101002120202121222210201
41202112201131230231
53212234232214101
6120303012233501
710425660014305
oct1422641355455
9332522558721
10105604569901
1140872032456
121857290b891
139c5c9a6cac
14517b538605
152b312b2e01
hex189685db2d

105604569901 has 8 divisors (see below), whose sum is σ = 106663198464. Its totient is φ = 104546197200.

The previous prime is 105604569887. The next prime is 105604569907. The reversal of 105604569901 is 109965406501.

It is a happy number.

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 105604569901 - 25 = 105604569869 is a prime.

It is a super-2 number, since 2×1056045699012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105604569907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 827560 + ... + 946606.

It is an arithmetic number, because the mean of its divisors is an integer number (13332899808).

Almost surely, 2105604569901 is an apocalyptic number.

It is an amenable number.

105604569901 is a deficient number, since it is larger than the sum of its proper divisors (1058628563).

105604569901 is a wasteful number, since it uses less digits than its factorization.

105604569901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127931.

The product of its (nonzero) digits is 291600, while the sum is 46.

The spelling of 105604569901 in words is "one hundred five billion, six hundred four million, five hundred sixty-nine thousand, nine hundred one".

Divisors: 1 101 8783 119047 887083 12023747 1045589801 105604569901