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105639111684 = 2234326046641
BaseRepresentation
bin110001001100010010…
…1001110110000000100
3101002200011121220020000
41202120211032300010
53212322103033214
6120310244441300
710426556430231
oct1423045166004
9332604556200
10105639111684
114088a585187
12185823a9230
139c66bac312
145181d6a788
152b34337809
hex189894ec04

105639111684 has 30 divisors (see below), whose sum is σ = 276161505774. Its totient is φ = 35213037120.

The previous prime is 105639111673. The next prime is 105639111689. The reversal of 105639111684 is 486111936501.

105639111684 is a `hidden beast` number, since 1 + 0 + 5 + 639 + 1 + 1 + 1 + 6 + 8 + 4 = 666.

105639111684 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 98545766400 + 7093345284 = 313920^2 + 84222^2 .

It is a super-2 number, since 2×1056391116842 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105639111689) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 163022997 + ... + 163023644.

Almost surely, 2105639111684 is an apocalyptic number.

It is an amenable number.

105639111684 is an abundant number, since it is smaller than the sum of its proper divisors (170522394090).

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

105639111684 is a wasteful number, since it uses less digits than its factorization.

105639111684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326046657 (or 326046646 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 105639111684 in words is "one hundred five billion, six hundred thirty-nine million, one hundred eleven thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 326046641 652093282 978139923 1304186564 1956279846 2934419769 3912559692 5868839538 8803259307 11737679076 17606518614 26409777921 35213037228 52819555842 105639111684