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106682760684 = 22324799763241
BaseRepresentation
bin110001101011011001…
…0011011110111101100
3101012100220102202111200
41203112302123313230
53221441241320214
6121002005445500
710464461334543
oct1432662336754
9335326382450
10106682760684
1141275701115
1218813a10890
13a0a218cbc6
1452407db15a
152b95c8bd09
hex18d6c9bdec

106682760684 has 72 divisors (see below), whose sum is σ = 275688573888. Its totient is φ = 34768846080.

The previous prime is 106682760647. The next prime is 106682760719. The reversal of 106682760684 is 486067286601.

106682760684 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 8 + 27 + 606 + 8 + 4 = 666.

It is a super-2 number, since 2×1066827606842 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106682760684.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1655304 + ... + 1718544.

Almost surely, 2106682760684 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106682760684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137844286944).

106682760684 is an abundant number, since it is smaller than the sum of its proper divisors (169005813204).

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

106682760684 is a wasteful number, since it uses less digits than its factorization.

106682760684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64295 (or 64290 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 106682760684 in words is "one hundred six billion, six hundred eighty-two million, seven hundred sixty thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 997 1692 1994 2991 3988 5982 8973 11964 17946 35892 46859 63241 93718 126482 140577 187436 189723 252964 281154 379446 421731 562308 569169 758892 843462 1138338 1686924 2276676 2972327 5944654 8916981 11889308 17833962 26750943 35667924 53501886 63051277 107003772 126102554 189153831 252205108 378307662 567461493 756615324 1134922986 2269845972 2963410019 5926820038 8890230057 11853640076 17780460114 26670690171 35560920228 53341380342 106682760684