Search a number
-
+
106008225 = 3521413443
BaseRepresentation
bin1100101000110…
…00111010100001
321101110202221120
412110120322201
5204114230400
614304042453
72425024611
oct624307241
9241422846
10106008225
1154925604
122b603429
1318c6847b
1410116a41
15948eca0
hex6518ea1

106008225 has 12 divisors (see below), whose sum is σ = 175267056. Its totient is φ = 56537680.

The previous prime is 106008197. The next prime is 106008229. The reversal of 106008225 is 522800601.

It is not a de Polignac number, because 106008225 - 25 = 106008193 is a prime.

It is a super-2 number, since 2×1060082252 = 22475487535301250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106008195 and 106008204.

It is not an unprimeable number, because it can be changed into a prime (106008229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 706647 + ... + 706796.

It is an arithmetic number, because the mean of its divisors is an integer number (14605588).

Almost surely, 2106008225 is an apocalyptic number.

106008225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106008225 is a deficient number, since it is larger than the sum of its proper divisors (69258831).

106008225 is a wasteful number, since it uses less digits than its factorization.

106008225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413456 (or 1413451 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 106008225 is about 10296.0295745496. The cubic root of 106008225 is about 473.2745896262.

Adding to 106008225 its reverse (522800601), we get a palindrome (628808826).

The spelling of 106008225 in words is "one hundred six million, eight thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 75 1413443 4240329 7067215 21201645 35336075 106008225