Search a number
-
+
106331064 = 2337632923
BaseRepresentation
bin1100101011001…
…11101110111000
321102002011210120
412111213232320
5204210043224
614315013240
72430541050
oct625475670
9242064716
10106331064
1155026114
122b73a220
131904c3b8
141019c560
159505779
hex6567bb8

106331064 has 32 divisors (see below), whose sum is σ = 303803520. Its totient is φ = 30380256.

The previous prime is 106331041. The next prime is 106331089. The reversal of 106331064 is 460133601.

It is a super-2 number, since 2×1063310642 = 22612590342744192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316294 + ... + 316629.

It is an arithmetic number, because the mean of its divisors is an integer number (9493860).

Almost surely, 2106331064 is an apocalyptic number.

106331064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106331064 is an abundant number, since it is smaller than the sum of its proper divisors (197472456).

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

106331064 is a wasteful number, since it uses less digits than its factorization.

106331064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632939 (or 632935 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 106331064 is about 10311.6954958920. The cubic root of 106331064 is about 473.7545418584.

Adding to 106331064 its reverse (460133601), we get a palindrome (566464665).

The spelling of 106331064 in words is "one hundred six million, three hundred thirty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 632923 1265846 1898769 2531692 3797538 4430461 5063384 7595076 8860922 13291383 15190152 17721844 26582766 35443688 53165532 106331064