Search a number
-
+
106524231 = 31147173397
BaseRepresentation
bin1100101100101…
…10111001000111
321102102222202220
412112112321013
5204232233411
614323103423
72432304162
oct626267107
9242388686
10106524231
1155148260
122b811b73
13190b92b8
141020cad9
159542b06
hex6596e47

106524231 has 32 divisors (see below), whose sum is σ = 159556608. Its totient is φ = 62663040.

The previous prime is 106524217. The next prime is 106524233. The reversal of 106524231 is 132425601.

It is not a de Polignac number, because 106524231 - 25 = 106524199 is a prime.

It is a super-2 number, since 2×1065242312 = 22694823580282722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106524233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268125 + ... + 268521.

It is an arithmetic number, because the mean of its divisors is an integer number (4986144).

Almost surely, 2106524231 is an apocalyptic number.

106524231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106524231 is a deficient number, since it is larger than the sum of its proper divisors (53032377).

106524231 is a wasteful number, since it uses less digits than its factorization.

106524231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 106524231 is about 10321.0576492916. The cubic root of 106524231 is about 474.0412513726.

Adding to 106524231 its reverse (132425601), we get a palindrome (238949832).

The spelling of 106524231 in words is "one hundred six million, five hundred twenty-four thousand, two hundred thirty-one".

Divisors: 1 3 11 33 47 141 173 397 517 519 1191 1551 1903 4367 5709 8131 13101 18659 24393 55977 68681 89441 205249 206043 268323 615747 755491 2266473 3228007 9684021 35508077 106524231