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106134420 = 223572310987
BaseRepresentation
bin1100101001101…
…11101110010100
321101201012001110
412110313232110
5204132300140
614310455020
72426061540
oct624675624
9241635043
10106134420
1154a013a7
122b664470
1318cb0a42
141014aa20
1594b7380
hex6537b94

106134420 has 96 divisors (see below), whose sum is σ = 354428928. Its totient is φ = 23202432.

The previous prime is 106134373. The next prime is 106134433. The reversal of 106134420 is 24431601.

It is a super-2 number, since 2×1061344202 = 22529030217472800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4167 + ... + 15153.

It is an arithmetic number, because the mean of its divisors is an integer number (3691968).

Almost surely, 2106134420 is an apocalyptic number.

106134420 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 106134420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177214464).

106134420 is an abundant number, since it is smaller than the sum of its proper divisors (248294508).

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

106134420 is a wasteful number, since it uses less digits than its factorization.

106134420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11029 (or 11027 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 106134420 is about 10302.1560850144. The cubic root of 106134420 is about 473.4623146923.

The spelling of 106134420 in words is "one hundred six million, one hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1380 1610 1932 2415 3220 4830 9660 10987 21974 32961 43948 54935 65922 76909 109870 131844 153818 164805 219740 230727 252701 307636 329610 384545 461454 505402 659220 758103 769090 922908 1010804 1153635 1263505 1516206 1538180 1768907 2307270 2527010 3032412 3537814 3790515 4614540 5054020 5306721 7075628 7581030 8844535 10613442 15162060 17689070 21226884 26533605 35378140 53067210 106134420