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106499337216 = 210334667753
BaseRepresentation
bin110001100101111011…
…0101110110000000000
3101011220010021212210220
41203023312232300000
53221102312242331
6120531454223040
710460103300336
oct1431366566000
9334803255726
10106499337216
1141191110378
12187824b4a80
13a07318a9cc
1452242d1b56
152b84b09296
hex18cbdaec00

106499337216 has 44 divisors (see below), whose sum is σ = 283859569752. Its totient is φ = 35499778048.

The previous prime is 106499337211. The next prime is 106499337233. The reversal of 106499337216 is 612733994601.

106499337216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1064993372162 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106499337211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17330805 + ... + 17336948.

It is an arithmetic number, because the mean of its divisors is an integer number (6451353858).

Almost surely, 2106499337216 is an apocalyptic number.

106499337216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106499337216 is an abundant number, since it is smaller than the sum of its proper divisors (177360232536).

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

106499337216 is an equidigital number, since it uses as much as digits as its factorization.

106499337216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34667776 (or 34667758 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The spelling of 106499337216 in words is "one hundred six billion, four hundred ninety-nine million, three hundred thirty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 34667753 69335506 104003259 138671012 208006518 277342024 416013036 554684048 832026072 1109368096 1664052144 2218736192 3328104288 4437472384 6656208576 8874944768 13312417152 17749889536 26624834304 35499779072 53249668608 106499337216