Search a number
-
+
106010565135 = 3543316321873
BaseRepresentation
bin110001010111010111…
…0001101101000001111
3101010122001120200120020
41202232232031220033
53214102201041020
6120411154153223
710442016636006
oct1425656155017
9333561520506
10106010565135
1140a60222702
1218666882813
139cc5b37367
1451b941dc3d
152b56c5cc40
hex18aeb8da0f

106010565135 has 16 divisors (see below), whose sum is σ = 170008639584. Its totient is φ = 56408389632.

The previous prime is 106010565131. The next prime is 106010565139. The reversal of 106010565135 is 531565010601.

It is an interprime number because it is at equal distance from previous prime (106010565131) and next prime (106010565139).

It is not a de Polignac number, because 106010565135 - 22 = 106010565131 is a prime.

It is a super-2 number, since 2×1060105651352 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106010565096 and 106010565105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106010565131) 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, 8154442 + ... + 8167431.

It is an arithmetic number, because the mean of its divisors is an integer number (10625539974).

Almost surely, 2106010565135 is an apocalyptic number.

106010565135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106010565135 is a deficient number, since it is larger than the sum of its proper divisors (63998074449).

106010565135 is a wasteful number, since it uses less digits than its factorization.

106010565135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16322314.

The product of its (nonzero) digits is 13500, while the sum is 33.

Adding to 106010565135 its reverse (531565010601), we get a palindrome (637575575736).

The spelling of 106010565135 in words is "one hundred six billion, ten million, five hundred sixty-five thousand, one hundred thirty-five".

Divisors: 1 3 5 15 433 1299 2165 6495 16321873 48965619 81609365 244828095 7067371009 21202113027 35336855045 106010565135