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106642098 = 232191631913
BaseRepresentation
bin1100101101100…
…11101010110010
321102122222110100
412112303222302
5204300021343
614325413230
72433304623
oct626635262
9242588410
10106642098
1155218872
122b86a216
131912ab44
141023da4a
1595679d3
hex65b3ab2

106642098 has 48 divisors (see below), whose sum is σ = 244838880. Its totient is φ = 33452352.

The previous prime is 106642097. The next prime is 106642141. The reversal of 106642098 is 890246601.

106642098 is a `hidden beast` number, since 1 + 0 + 6 + 642 + 0 + 9 + 8 = 666.

It is a super-2 number, since 2×1066420982 = 22745074131683208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106642097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54790 + ... + 56702.

It is an arithmetic number, because the mean of its divisors is an integer number (5100810).

Almost surely, 2106642098 is an apocalyptic number.

106642098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106642098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122419440).

106642098 is an abundant number, since it is smaller than the sum of its proper divisors (138196782).

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

106642098 is a wasteful number, since it uses less digits than its factorization.

106642098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 106642098 is about 10326.7660959276. The cubic root of 106642098 is about 474.2160260836.

Adding to 106642098 its reverse (890246601), we get a palindrome (996888699).

The spelling of 106642098 in words is "one hundred six million, six hundred forty-two thousand, ninety-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 163 171 326 342 489 978 1467 1913 2934 3097 3826 5739 6194 9291 11478 17217 18582 27873 34434 36347 55746 72694 109041 218082 311819 327123 623638 654246 935457 1870914 2806371 5612742 5924561 11849122 17773683 35547366 53321049 106642098