Search a number
-
+
106028208 = 2432111319271
BaseRepresentation
bin1100101000111…
…01110010110000
321101111210100200
412110131302300
5204120400313
614304315200
72425140066
oct624356260
9241453320
10106028208
1154939620
122b612b00
1318c745b0
1410120036
159495b73
hex651dcb0

106028208 has 240 divisors, whose sum is σ = 368309760. Its totient is φ = 27993600.

The previous prime is 106028161. The next prime is 106028231. The reversal of 106028208 is 802820601.

It is a Cunningham number, because it is equal to 102972-1.

It is a super-2 number, since 2×1060282082 = 22483961783382528, 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 47 ways as a sum of consecutive naturals, for example, 391113 + ... + 391383.

It is an arithmetic number, because the mean of its divisors is an integer number (1534624).

Almost surely, 2106028208 is an apocalyptic number.

106028208 is a gapful number since it is divisible by the number (18) 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 106028208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184154880).

106028208 is an abundant number, since it is smaller than the sum of its proper divisors (262281552).

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

106028208 is a wasteful number, since it uses less digits than its factorization.

106028208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 106028208 is about 10296.9999514422. Note that the first 4 decimals coincide. The cubic root of 106028208 is about 473.3043258469.

Adding to 106028208 its reverse (802820601), we get a palindrome (908848809).

The spelling of 106028208 in words is "one hundred six million, twenty-eight thousand, two hundred eight".