Search a number
-
+
105024001 = 1931414349
BaseRepresentation
bin1100100001010…
…00101000000001
321022121202211211
412100220220001
5203341232001
614231010121
72413455265
oct620505001
9238552754
10105024001
11543130a5
122b209941
13189b24a4
14dd3c0a5
159348351
hex6428a01

105024001 has 16 divisors (see below), whose sum is σ = 116928000. Its totient is φ = 93916800.

The previous prime is 105023969. The next prime is 105024013. The reversal of 105024001 is 100420501.

It is a cyclic number.

It is not a de Polignac number, because 105024001 - 25 = 105023969 is a prime.

It is a super-2 number, since 2×1050240012 = 22060081572096002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105024401) 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, 21975 + ... + 26323.

It is an arithmetic number, because the mean of its divisors is an integer number (7308000).

Almost surely, 2105024001 is an apocalyptic number.

It is an amenable number.

105024001 is a deficient number, since it is larger than the sum of its proper divisors (11903999).

105024001 is a wasteful number, since it uses less digits than its factorization.

105024001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4440.

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 105024001 is about 10248.1218279253. The cubic root of 105024001 is about 471.8053411259.

Adding to 105024001 its reverse (100420501), we get a palindrome (205444502).

The spelling of 105024001 in words is "one hundred five million, twenty-four thousand, one".

Divisors: 1 19 31 41 589 779 1271 4349 24149 82631 134819 178309 2561561 3387871 5527579 105024001