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105778855780 = 22513406841753
BaseRepresentation
bin110001010000011101…
…0010011111101100100
3101010000220120122002021
41202200322103331210
53213113341341110
6120332155552524
710433204303353
oct1424072237544
9333026518067
10105778855780
1140951451a74
121860115b744
139c89b2a030
14519674599a
152b4173d2da
hex18a0e93f64

105778855780 has 24 divisors (see below), whose sum is σ = 239222951352. Its totient is φ = 39056808192.

The previous prime is 105778855691. The next prime is 105778855799. The reversal of 105778855780 is 87558877501.

It can be written as a sum of positive squares in 4 ways, for example, as 7199183104 + 98579672676 = 84848^2 + 313974^2 .

It is a super-2 number, since 2×1057788557802 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203420617 + ... + 203421136.

It is an arithmetic number, because the mean of its divisors is an integer number (9967622973).

Almost surely, 2105778855780 is an apocalyptic number.

105778855780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105778855780 is an abundant number, since it is smaller than the sum of its proper divisors (133444095572).

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

105778855780 is a wasteful number, since it uses less digits than its factorization.

105778855780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406841775 (or 406841773 counting only the distinct ones).

The product of its (nonzero) digits is 21952000, while the sum is 61.

The spelling of 105778855780 in words is "one hundred five billion, seven hundred seventy-eight million, eight hundred fifty-five thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 406841753 813683506 1627367012 2034208765 4068417530 5288942789 8136835060 10577885578 21155771156 26444713945 52889427890 105778855780