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106004346 = 2372536803
BaseRepresentation
bin1100101000101…
…11111101111010
321101110120121220
412110113331322
5204114114341
614304012510
72425010400
oct624277572
9241416556
10106004346
11549226a8
122b601136
1318c66786
1410115470
15948da66
hex6517f7a

106004346 has 48 divisors (see below), whose sum is σ = 251312544. Its totient is φ = 29711136.

The previous prime is 106004303. The next prime is 106004347. The reversal of 106004346 is 643400601.

It is a super-2 number, since 2×1060043462 = 22473842741775432, which contains 22 as substring.

106004346 is a modest number, since divided by 4346 gives 1060 as remainder.

It is not an unprimeable number, because it can be changed into a prime (106004347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12181 + ... + 18983.

It is an arithmetic number, because the mean of its divisors is an integer number (5235678).

Almost surely, 2106004346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106004346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125656272).

106004346 is an abundant number, since it is smaller than the sum of its proper divisors (145308198).

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

106004346 is a wasteful number, since it uses less digits than its factorization.

106004346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6875 (or 6868 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 106004346 is about 10295.8411992416. The cubic root of 106004346 is about 473.2688169467.

Adding to 106004346 its reverse (643400601), we get a palindrome (749404947).

The spelling of 106004346 in words is "one hundred six million, four thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 49 53 98 106 147 159 294 318 371 742 1113 2226 2597 5194 6803 7791 13606 15582 20409 40818 47621 95242 142863 285726 333347 360559 666694 721118 1000041 1081677 2000082 2163354 2523913 5047826 7571739 15143478 17667391 35334782 53002173 106004346