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106366130101 = 72113710152807
BaseRepresentation
bin110001100001111101…
…0100101011110110101
3101011112211122021000001
41203003322211132311
53220314212130401
6120510335151301
710453565121400
oct1430372453665
9334484567001
10106366130101
11411229a8950
1218745975531
13a0516bb52a
145210738d37
152b78095601
hex18c3ea57b5

106366130101 has 48 divisors (see below), whose sum is σ = 140003724672. Its totient is φ = 79842672000.

The previous prime is 106366130099. The next prime is 106366130107. The reversal of 106366130101 is 101031663601.

It is a happy number.

It is not a de Polignac number, because 106366130101 - 21 = 106366130099 is a prime.

It is a super-2 number, since 2×1063661301012 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106366130101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106366130107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1987840 + ... + 2040646.

It is an arithmetic number, because the mean of its divisors is an integer number (2916744264).

Almost surely, 2106366130101 is an apocalyptic number.

106366130101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106366130101 is a deficient number, since it is larger than the sum of its proper divisors (33637594571).

106366130101 is a wasteful number, since it uses less digits than its factorization.

106366130101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52970 (or 52963 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

Adding to 106366130101 its reverse (101031663601), we get a palindrome (207397793702).

The spelling of 106366130101 in words is "one hundred six billion, three hundred sixty-six million, one hundred thirty thousand, one hundred one".

Divisors: 1 7 11 37 49 77 101 259 407 539 707 1111 1813 2849 3737 4949 7777 19943 26159 41107 52807 54439 183113 287749 369649 580877 1953859 2014243 2587543 4066139 5333507 13677013 21492449 28462973 37334549 58668577 95739091 150447143 197339759 261341843 410680039 1053130001 1381378313 2170737349 2874760273 9669648191 15195161443 106366130101