Search a number
-
+
106010060 = 225132811451
BaseRepresentation
bin1100101000110…
…01010111001100
321101110212110112
412110121113030
5204114310220
614304055152
72425033142
oct624312714
9241425415
10106010060
1154926a22
122b6044b8
1318c69260
1410117592
1594905c5
hex65195cc

106010060 has 48 divisors (see below), whose sum is σ = 240764832. Its totient is φ = 38976000.

The previous prime is 106009999. The next prime is 106010081. The reversal of 106010060 is 60010601.

It is a super-2 number, since 2×1060100602 = 22476265642407200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72335 + ... + 73785.

It is an arithmetic number, because the mean of its divisors is an integer number (5015934).

Almost surely, 2106010060 is an apocalyptic number.

106010060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106010060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120382416).

106010060 is an abundant number, since it is smaller than the sum of its proper divisors (134754772).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106010060 is a wasteful number, since it uses less digits than its factorization.

106010060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 106010060 is about 10296.1186861846. The cubic root of 106010060 is about 473.2773204013.

Adding to 106010060 its reverse (60010601), we get a palindrome (166020661).

The spelling of 106010060 in words is "one hundred six million, ten thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 281 562 1124 1405 1451 2810 2902 3653 5620 5804 7255 7306 14510 14612 18265 18863 29020 36530 37726 73060 75452 94315 188630 377260 407731 815462 1630924 2038655 4077310 5300503 8154620 10601006 21202012 26502515 53005030 106010060