Search a number
-
+
106045134 = 23132234547
BaseRepresentation
bin1100101001000…
…01111011001110
321101112122120120
412110201323032
5204121421014
614304525410
72425240326
oct624417316
9241478516
10106045134
1154950308
122b620866
1318c7c200
1410126286
15949aba9
hex6521ece

106045134 has 48 divisors (see below), whose sum is σ = 239697792. Its totient is φ = 31203744.

The previous prime is 106045109. The next prime is 106045151. The reversal of 106045134 is 431540601.

It is a super-2 number, since 2×1060451342 = 22491140890155912, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21049 + ... + 25595.

It is an arithmetic number, because the mean of its divisors is an integer number (4993704).

Almost surely, 2106045134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106045134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119848896).

106045134 is an abundant number, since it is smaller than the sum of its proper divisors (133652658).

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

106045134 is a wasteful number, since it uses less digits than its factorization.

106045134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4601 (or 4588 counting only the distinct ones).

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

The square root of 106045134 is about 10297.8218085185. The cubic root of 106045134 is about 473.3295100972.

Adding to 106045134 its reverse (431540601), we get a palindrome (537585735).

The spelling of 106045134 in words is "one hundred six million, forty-five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 169 299 338 507 598 897 1014 1794 3887 4547 7774 9094 11661 13641 23322 27282 59111 104581 118222 177333 209162 313743 354666 627486 768443 1359553 1536886 2305329 2719106 4078659 4610658 8157318 17674189 35348378 53022567 106045134