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105565015540 = 2255278250777
BaseRepresentation
bin110001001010000101…
…0100100110111110100
3101002111000012102102101
41202110022210313310
53212144120444130
6120255040351444
710424666553415
oct1422412446764
9332430172371
10105565015540
11408517766a6
1218561615584
139c5473824a
14517619d80c
152b2ca9d1ca
hex18942a4df4

105565015540 has 12 divisors (see below), whose sum is σ = 221686532676. Its totient is φ = 42226006208.

The previous prime is 105565015453. The next prime is 105565015541. The reversal of 105565015540 is 45510565501.

It can be written as a sum of positive squares in 2 ways, for example, as 37675586404 + 67889429136 = 194102^2 + 260556^2 .

It is a super-2 number, since 2×1055650155402 (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 105565015540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105565015541) 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, 2639125369 + ... + 2639125408.

It is an arithmetic number, because the mean of its divisors is an integer number (18473877723).

Almost surely, 2105565015540 is an apocalyptic number.

105565015540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105565015540 is an abundant number, since it is smaller than the sum of its proper divisors (116121517136).

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

105565015540 is a wasteful number, since it uses less digits than its factorization.

105565015540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278250786 (or 5278250784 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 37.

The spelling of 105565015540 in words is "one hundred five billion, five hundred sixty-five million, fifteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 5278250777 10556501554 21113003108 26391253885 52782507770 105565015540