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106543420 = 22517417643
BaseRepresentation
bin1100101100110…
…11100100111100
321102110222002121
412112123210330
5204233342140
614323332324
72432414134
oct626334474
9242428077
10106543420
1155160715
122b8210a4
13190c4c59
1410215ac4
15954864a
hex659b93c

106543420 has 48 divisors (see below), whose sum is σ = 242712288. Its totient is φ = 39127040.

The previous prime is 106543417. The next prime is 106543441. The reversal of 106543420 is 24345601.

It is a super-2 number, since 2×1065434202 = 22703000690592800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10119 + ... + 17761.

It is an arithmetic number, because the mean of its divisors is an integer number (5056506).

Almost surely, 2106543420 is an apocalyptic number.

106543420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106543420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121356144).

106543420 is an abundant number, since it is smaller than the sum of its proper divisors (136168868).

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

106543420 is a wasteful number, since it uses less digits than its factorization.

106543420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7710 (or 7708 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 106543420 is about 10321.9872117727. The cubic root of 106543420 is about 474.0697138527.

The spelling of 106543420 in words is "one hundred six million, five hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 410 697 820 1394 2788 3485 6970 7643 13940 15286 30572 38215 76430 129931 152860 259862 313363 519724 626726 649655 1253452 1299310 1566815 2598620 3133630 5327171 6267260 10654342 21308684 26635855 53271710 106543420