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106129494 = 23312231607
BaseRepresentation
bin1100101001101…
…10100001010110
321101200221022000
412110312201112
5204132120434
614310420130
72426041302
oct624664126
9241627260
10106129494
11549a8729
122b661646
1318cab723
1410148d02
1594b5b99
hex6536856

106129494 has 32 divisors (see below), whose sum is σ = 236183040. Its totient is φ = 35325576.

The previous prime is 106129493. The next prime is 106129511. The reversal of 106129494 is 494921601.

It is a happy number.

It is a super-2 number, since 2×1061294942 = 22526938993392072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106129493) 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 15 ways as a sum of consecutive naturals, for example, 65239 + ... + 66845.

It is an arithmetic number, because the mean of its divisors is an integer number (7380720).

Almost surely, 2106129494 is an apocalyptic number.

106129494 is an abundant number, since it is smaller than the sum of its proper divisors (130053546).

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

106129494 is a wasteful number, since it uses less digits than its factorization.

106129494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 106129494 is about 10301.9170060722. The cubic root of 106129494 is about 473.4549896686.

It can be divided in two parts, 106 and 129494, that added together give a square (129600 = 3602).

The spelling of 106129494 in words is "one hundred six million, one hundred twenty-nine thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 54 1223 1607 2446 3214 3669 4821 7338 9642 11007 14463 22014 28926 33021 43389 66042 86778 1965361 3930722 5896083 11792166 17688249 35376498 53064747 106129494