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106300998 = 2341315009
BaseRepresentation
bin1100101011000…
…00011001000110
321102000122120000
412111200121012
5204203112443
614314222130
72430354306
oct625403106
9242018500
10106300998
1155005571
122b724946
131903b7cb
1410191606
1594eb8d3
hex6560646

106300998 has 40 divisors (see below), whose sum is σ = 240059160. Its totient is φ = 35156160.

The previous prime is 106300967. The next prime is 106301033. The reversal of 106300998 is 899003601.

106300998 is a `hidden beast` number, since 10 + 630 + 0 + 9 + 9 + 8 = 666.

It is a super-2 number, since 2×1063009982 = 22599804351592008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 18718 + ... + 23726.

It is an arithmetic number, because the mean of its divisors is an integer number (6001479).

Almost surely, 2106300998 is an apocalyptic number.

106300998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106300998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120029580).

106300998 is an abundant number, since it is smaller than the sum of its proper divisors (133758162).

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

106300998 is a wasteful number, since it uses less digits than its factorization.

106300998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5154 (or 5145 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 106300998 is about 10310.2375336362. The cubic root of 106300998 is about 473.7098849593.

The spelling of 106300998 in words is "one hundred six million, three hundred thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 54 81 131 162 262 393 786 1179 2358 3537 5009 7074 10018 10611 15027 21222 30054 45081 90162 135243 270486 405729 656179 811458 1312358 1968537 3937074 5905611 11811222 17716833 35433666 53150499 106300998