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106000336 = 24132917573
BaseRepresentation
bin1100101000101…
…10111111010000
321101110101010101
412110112333100
5204114002321
614303542144
72424662611
oct624267720
9241411111
10106000336
115491a692
122b5ba954
1318c649c0
1410113c08
15948c791
hex6516fd0

106000336 has 40 divisors (see below), whose sum is σ = 228813480. Its totient is φ = 47233536.

The previous prime is 106000331. The next prime is 106000337. The reversal of 106000336 is 633000601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9960336 + 96040000 = 3156^2 + 9800^2 .

It is a super-2 number, since 2×1060003362 = 22472142464225792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106000331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2755 + ... + 14818.

It is an arithmetic number, because the mean of its divisors is an integer number (5720337).

Almost surely, 2106000336 is an apocalyptic number.

106000336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106000336 is an abundant number, since it is smaller than the sum of its proper divisors (122813144).

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

106000336 is a wasteful number, since it uses less digits than its factorization.

106000336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17623 (or 17617 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 106000336 is about 10295.6464585766. The cubic root of 106000336 is about 473.2628491666.

Adding to 106000336 its reverse (633000601), we get a palindrome (739000937).

The spelling of 106000336 in words is "one hundred six million, three hundred thirty-six", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 1508 3016 6032 17573 35146 70292 140584 228449 281168 456898 509617 913796 1019234 1827592 2038468 3655184 4076936 6625021 8153872 13250042 26500084 53000168 106000336