Search a number
-
+
106010560101 = 3233741523917
BaseRepresentation
bin110001010111010111…
…0001100011001100101
3101010122001120102122210
41202232232030121211
53214102200410401
6120411154114033
710442016615225
oct1425656143145
9333561512583
10106010560101
1140a60219946
121866687b919
139cc5b34c94
1451b941c085
152b56c5b4d6
hex18aeb8c665

106010560101 has 16 divisors (see below), whose sum is σ = 151479252864. Its totient is φ = 65773882944.

The previous prime is 106010560093. The next prime is 106010560157. The reversal of 106010560101 is 101065010601.

It is not a de Polignac number, because 106010560101 - 23 = 106010560093 is a prime.

It is a super-2 number, since 2×1060105601012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106010560301) 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 15 ways as a sum of consecutive naturals, for example, 20759406 + ... + 20764511.

It is an arithmetic number, because the mean of its divisors is an integer number (9467453304).

Almost surely, 2106010560101 is an apocalyptic number.

It is an amenable number.

106010560101 is a deficient number, since it is larger than the sum of its proper divisors (45468692763).

106010560101 is a wasteful number, since it uses less digits than its factorization.

106010560101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41523980.

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 106010560101 its reverse (101065010601), we get a palindrome (207075570702).

The spelling of 106010560101 in words is "one hundred six billion, ten million, five hundred sixty thousand, one hundred one".

Divisors: 1 3 23 37 69 111 851 2553 41523917 124571751 955050091 1536384929 2865150273 4609154787 35336853367 106010560101