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106517202 = 23113474651
BaseRepresentation
bin1100101100101…
…01001011010010
321102102122010120
412112111023102
5204232022302
614323011110
72432244531
oct626251322
9242378116
10106517202
1155142a50
122b809a96
13190b603c
141020a318
1595409bc
hex65952d2

106517202 has 32 divisors (see below), whose sum is σ = 233121024. Its totient is φ = 32178000.

The previous prime is 106517197. The next prime is 106517207. The reversal of 106517202 is 202715601.

It is an interprime number because it is at equal distance from previous prime (106517197) and next prime (106517207).

It is a super-2 number, since 2×1065172022 = 22691828643817608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106517207) 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, 20577 + ... + 25227.

It is an arithmetic number, because the mean of its divisors is an integer number (7285032).

Almost surely, 2106517202 is an apocalyptic number.

106517202 is an abundant number, since it is smaller than the sum of its proper divisors (126603822).

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

106517202 is a wasteful number, since it uses less digits than its factorization.

106517202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5014.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 106517202 is about 10320.7171262466. The cubic root of 106517202 is about 474.0308246080.

The spelling of 106517202 in words is "one hundred six million, five hundred seventeen thousand, two hundred two".

Divisors: 1 2 3 6 11 22 33 66 347 694 1041 2082 3817 4651 7634 9302 11451 13953 22902 27906 51161 102322 153483 306966 1613897 3227794 4841691 9683382 17752867 35505734 53258601 106517202