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106306634 = 27192913781
BaseRepresentation
bin1100101011000…
…01110001001010
321102000221021202
412111201301022
5204203303014
614314304202
72430406610
oct625416112
9242027252
10106306634
1155009825
122b728062
1319041245
14101936b0
1594ed3de
hex6561c4a

106306634 has 32 divisors (see below), whose sum is σ = 198460800. Its totient is φ = 41670720.

The previous prime is 106306633. The next prime is 106306637. The reversal of 106306634 is 436603601.

It is a super-2 number, since 2×1063066342 = 22602200864819912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 106306597 and 106306606.

It is not an unprimeable number, because it can be changed into a prime (106306633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 824 + ... + 14604.

It is an arithmetic number, because the mean of its divisors is an integer number (6201900).

Almost surely, 2106306634 is an apocalyptic number.

106306634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106306634 is a deficient number, since it is larger than the sum of its proper divisors (92154166).

106306634 is a wasteful number, since it uses less digits than its factorization.

106306634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13838.

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 106306634 is about 10310.5108505835. The cubic root of 106306634 is about 473.7182567268.

The spelling of 106306634 in words is "one hundred six million, three hundred six thousand, six hundred thirty-four".

Divisors: 1 2 7 14 19 29 38 58 133 203 266 406 551 1102 3857 7714 13781 27562 96467 192934 261839 399649 523678 799298 1832873 2797543 3665746 5595086 7593331 15186662 53153317 106306634