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106702668 = 223210212903
BaseRepresentation
bin1100101110000…
…10011101001100
321102210001112200
412113002131030
5204303441133
614331001500
72433646332
oct627023514
9242701480
10106702668
115525a326
122b899290
131914c597
1410257b52
15957a913
hex65c274c

106702668 has 36 divisors (see below), whose sum is σ = 270077808. Its totient is φ = 35520480.

The previous prime is 106702657. The next prime is 106702679. The reversal of 106702668 is 866207601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106702657) and next prime (106702679).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1067026682 = 22770918716636448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 35305 + ... + 38207.

Almost surely, 2106702668 is an apocalyptic number.

106702668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106702668 is an abundant number, since it is smaller than the sum of its proper divisors (163375140).

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

106702668 is a wasteful number, since it uses less digits than its factorization.

106702668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3934 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 106702668 is about 10329.6983499035. The cubic root of 106702668 is about 474.3057899727.

The spelling of 106702668 in words is "one hundred six million, seven hundred two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1021 2042 2903 3063 4084 5806 6126 8709 9189 11612 12252 17418 18378 26127 34836 36756 52254 104508 2963963 5927926 8891889 11855852 17783778 26675667 35567556 53351334 106702668