Search a number
-
+
106505207 = 5961101293
BaseRepresentation
bin1100101100100…
…10001111110111
321102102000200022
412112102033313
5204231131312
614322435355
72432164544
oct626221767
9242360608
10106505207
1155134a36
122b802b5b
13190b0743
1410205bcb
15953c172
hex65923f7

106505207 has 16 divisors (see below), whose sum is σ = 111555360. Its totient is φ = 101616000.

The previous prime is 106505173. The next prime is 106505209. The reversal of 106505207 is 702505601.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106505207 is a prime.

It is a super-2 number, since 2×1065052072 = 22686718236225698, which 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 (106505209) 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, 363353 + ... + 363645.

It is an arithmetic number, because the mean of its divisors is an integer number (6972210).

Almost surely, 2106505207 is an apocalyptic number.

106505207 is a deficient number, since it is larger than the sum of its proper divisors (5050153).

106505207 is a wasteful number, since it uses less digits than its factorization.

106505207 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514.

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 106505207 is about 10320.1359971659. The cubic root of 106505207 is about 474.0130302577.

The spelling of 106505207 in words is "one hundred six million, five hundred five thousand, two hundred seven".

Divisors: 1 59 61 101 293 3599 5959 6161 17287 17873 29593 363499 1054507 1745987 1805173 106505207