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106126048 = 2572320599
BaseRepresentation
bin1100101001101…
…01101011100000
321101200202120101
412110311223200
5204132013143
614310352144
72426025250
oct624655340
9241622511
10106126048
11549a6086
122b65b654
1318ca9ca2
1410147960
1594b4b4d
hex6535ae0

106126048 has 48 divisors (see below), whose sum is σ = 249177600. Its totient is φ = 43502976.

The previous prime is 106125977. The next prime is 106126049. The reversal of 106126048 is 840621601.

It is a super-2 number, since 2×1061260482 = 22525476128196608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106126049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5148 + ... + 15451.

It is an arithmetic number, because the mean of its divisors is an integer number (5191200).

Almost surely, 2106126048 is an apocalyptic number.

It is an amenable number.

106126048 is an abundant number, since it is smaller than the sum of its proper divisors (143051552).

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

106126048 is a wasteful number, since it uses less digits than its factorization.

106126048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20639 (or 20631 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 106126048 is about 10301.7497542893. The cubic root of 106126048 is about 473.4498652886.

Adding to 106126048 its reverse (840621601), we get a palindrome (946747649).

The spelling of 106126048 in words is "one hundred six million, one hundred twenty-six thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 5152 20599 41198 82396 144193 164792 288386 329584 473777 576772 659168 947554 1153544 1895108 2307088 3316439 3790216 4614176 6632878 7580432 13265756 15160864 26531512 53063024 106126048