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106348635 = 3252363303
BaseRepresentation
bin1100101011011…
…00000001011011
321102010001220100
412111230001123
5204211124020
614315230443
72430643221
oct625540133
9242101810
10106348635
1155038338
122b748423
13190573b3
14101a4b11
15950aa90
hex656c05b

106348635 has 12 divisors (see below), whose sum is σ = 184337712. Its totient is φ = 56719248.

The previous prime is 106348553. The next prime is 106348661. The reversal of 106348635 is 536843601.

106348635 is a `hidden beast` number, since 10 + 6 + 3 + 4 + 8 + 635 = 666.

It is not a de Polignac number, because 106348635 - 220 = 105300059 is a prime.

It is a super-2 number, since 2×1063486352 = 22620064332726450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106348635.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1181607 + ... + 1181696.

It is an arithmetic number, because the mean of its divisors is an integer number (15361476).

Almost surely, 2106348635 is an apocalyptic number.

106348635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106348635 is a deficient number, since it is larger than the sum of its proper divisors (77989077).

106348635 is a wasteful number, since it uses less digits than its factorization.

106348635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363314 (or 2363311 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 106348635 is about 10312.5474544363. The cubic root of 106348635 is about 473.7806360910.

The spelling of 106348635 in words is "one hundred six million, three hundred forty-eight thousand, six hundred thirty-five".

Divisors: 1 3 5 9 15 45 2363303 7089909 11816515 21269727 35449545 106348635