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106134030 = 2335675867
BaseRepresentation
bin1100101001101…
…11101000001110
321101201011112000
412110313220032
5204132242110
614310453130
72426060442
oct624675016
9241634460
10106134030
1154a01082
122b6641a6
1318cb0802
141014a822
1594b71c0
hex6537a0e

106134030 has 64 divisors (see below), whose sum is σ = 287297280. Its totient is φ = 27875232.

The previous prime is 106133977. The next prime is 106134031. The reversal of 106134030 is 30431601.

106134030 is a `hidden beast` number, since 10 + 613 + 40 + 3 + 0 = 666.

It is a super-2 number, since 2×1061340302 = 22528864648081800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106133994 and 106134012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106134031) 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, 15157 + ... + 21023.

It is an arithmetic number, because the mean of its divisors is an integer number (4489020).

Almost surely, 2106134030 is an apocalyptic number.

106134030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106134030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143648640).

106134030 is an abundant number, since it is smaller than the sum of its proper divisors (181163250).

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

106134030 is a wasteful number, since it uses less digits than its factorization.

106134030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5950 (or 5944 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 106134030 is about 10302.1371569204. The cubic root of 106134030 is about 473.4617347657.

Adding to 106134030 its reverse (30431601), we get a palindrome (136565631).

The spelling of 106134030 in words is "one hundred six million, one hundred thirty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 67 90 134 135 201 270 335 402 603 670 1005 1206 1809 2010 3015 3618 5867 6030 9045 11734 17601 18090 29335 35202 52803 58670 88005 105606 158409 176010 264015 316818 393089 528030 786178 792045 1179267 1584090 1965445 2358534 3537801 3930890 5896335 7075602 10613403 11792670 17689005 21226806 35378010 53067015 106134030