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106506495 = 3451913841
BaseRepresentation
bin1100101100100…
…10100011111111
321102102002110000
412112102203333
5204231201440
614322445343
72432201364
oct626224377
9242362400
10106506495
11551359a7
122b803853
13190b11c4
141020646b
15953c730
hex65928ff

106506495 has 40 divisors (see below), whose sum is σ = 200985840. Its totient is φ = 53809920.

The previous prime is 106506493. The next prime is 106506509. The reversal of 106506495 is 594605601.

106506495 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 0 + 649 + 5 = 666.

It is not a de Polignac number, because 106506495 - 21 = 106506493 is a prime.

It is a super-2 number, since 2×1065064952 = 22687266954370050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106506493) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 775 + ... + 14615.

It is an arithmetic number, because the mean of its divisors is an integer number (5024646).

Almost surely, 2106506495 is an apocalyptic number.

106506495 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106506495 is a deficient number, since it is larger than the sum of its proper divisors (94479345).

106506495 is a wasteful number, since it uses less digits than its factorization.

106506495 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13877 (or 13868 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 106506495 is about 10320.1983992557. The cubic root of 106506495 is about 474.0149410448.

The spelling of 106506495 in words is "one hundred six million, five hundred six thousand, four hundred ninety-five".

Divisors: 1 3 5 9 15 19 27 45 57 81 95 135 171 285 405 513 855 1539 2565 7695 13841 41523 69205 124569 207615 262979 373707 622845 788937 1121121 1314895 1868535 2366811 3944685 5605605 7100433 11834055 21301299 35502165 106506495