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106680939990 = 2358342843751
BaseRepresentation
bin110001101011010101…
…1011111010111010110
3101012100210000020222120
41203112223133113112
53221440310034430
6121001502440410
710464440012442
oct1432653372726
9335323006876
10106680939990
1141274678209
1218813293106
13a0a19a3281
145240485822
152b95a2c610
hex18d6adf5d6

106680939990 has 32 divisors (see below), whose sum is σ = 259119012096. Its totient is φ = 28105500000.

The previous prime is 106680939979. The next prime is 106680940019. The reversal of 106680939990 is 99939086601.

It is a super-2 number, since 2×1066809399902 (a number of 23 digits) 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 (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21419386 + ... + 21424365.

It is an arithmetic number, because the mean of its divisors is an integer number (8097469128).

Almost surely, 2106680939990 is an apocalyptic number.

106680939990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106680939990 is an abundant number, since it is smaller than the sum of its proper divisors (152438072106).

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

106680939990 is a wasteful number, since it uses less digits than its factorization.

106680939990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42843844.

The product of its (nonzero) digits is 5668704, while the sum is 60.

The spelling of 106680939990 in words is "one hundred six billion, six hundred eighty million, nine hundred thirty-nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 83 166 249 415 498 830 1245 2490 42843751 85687502 128531253 214218755 257062506 428437510 642656265 1285312530 3556031333 7112062666 10668093999 17780156665 21336187998 35560313330 53340469995 106680939990