Search a number
-
+
105031134 = 23313217677
BaseRepresentation
bin1100100001010…
…10010111011110
321022122010122000
412100222113132
5203341444014
614231103130
72413515135
oct620522736
9238563560
10105031134
115431849a
122b211aa6
13189b5800
14dd4091c
15934a509
hex642a5de

105031134 has 96 divisors (see below), whose sum is σ = 267999840. Its totient is φ = 30371328.

The previous prime is 105031103. The next prime is 105031177. The reversal of 105031134 is 431130501.

It is a super-2 number, since 2×1050311342 = 22063078218651912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154804 + ... + 155480.

It is an arithmetic number, because the mean of its divisors is an integer number (2791665).

Almost surely, 2105031134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105031134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133999920).

105031134 is an abundant number, since it is smaller than the sum of its proper divisors (162968706).

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

105031134 is a wasteful number, since it uses less digits than its factorization.

105031134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 105031134 is about 10248.4698370049. The cubic root of 105031134 is about 471.8160222124.

Adding to 105031134 its reverse (431130501), we get a palindrome (536161635).

The spelling of 105031134 in words is "one hundred five million, thirty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 169 221 234 306 338 351 442 459 507 663 677 702 918 1014 1326 1354 1521 1989 2031 2873 3042 3978 4062 4563 5746 5967 6093 8619 8801 9126 11509 11934 12186 17238 17602 18279 23018 25857 26403 34527 36558 51714 52806 69054 77571 79209 103581 114413 149617 155142 158418 207162 228826 237627 299234 310743 343239 448851 475254 621486 686478 897702 1029717 1346553 1945021 2059434 2693106 3089151 3890042 4039659 5835063 6178302 8079318 11670126 17505189 35010378 52515567 105031134