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106300698 = 2372547661
BaseRepresentation
bin1100101011000…
…00010100011010
321102000122010220
412111200110122
5204203110243
614314220510
72430353400
oct625402432
9242018126
10106300698
1155005319
122b724736
131903b62a
1410191470
1594eb783
hex656051a

106300698 has 48 divisors (see below), whose sum is σ = 248138784. Its totient is φ = 30270240.

The previous prime is 106300697. The next prime is 106300709. The reversal of 106300698 is 896003601.

It is a super-2 number, since 2×1063006982 = 22599676790574408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106300697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160488 + ... + 161148.

It is an arithmetic number, because the mean of its divisors is an integer number (5169558).

Almost surely, 2106300698 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106300698, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124069392).

106300698 is an abundant number, since it is smaller than the sum of its proper divisors (141838086).

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

106300698 is a wasteful number, since it uses less digits than its factorization.

106300698 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 106300698 is about 10310.2229849795. Note that the first 3 decimals coincide. The cubic root of 106300698 is about 473.7094393281.

The spelling of 106300698 in words is "one hundred six million, three hundred thousand, six hundred ninety-eight".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 547 661 1094 1322 1641 1983 3282 3829 3966 4627 7658 9254 11487 13881 22974 26803 27762 32389 53606 64778 80409 97167 160818 194334 361567 723134 1084701 2169402 2530969 5061938 7592907 15185814 17716783 35433566 53150349 106300698