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105320540200 = 2352526602701
BaseRepresentation
bin110001000010110010…
…1111110100000101000
3101001211222011210022011
41202011211332200220
53211144024241300
6120214504405304
710415640551341
oct1420545764050
9331758153264
10105320540200
1140736776767
12184b3776834
139c15bab395
1451519210c8
152b163aaeba
hex188597e828

105320540200 has 24 divisors (see below), whose sum is σ = 244870256430. Its totient is φ = 42128216000.

The previous prime is 105320540191. The next prime is 105320540209. The reversal of 105320540200 is 2045023501.

It is an interprime number because it is at equal distance from previous prime (105320540191) and next prime (105320540209).

It can be written as a sum of positive squares in 3 ways, for example, as 90838343236 + 14482196964 = 301394^2 + 120342^2 .

It is a super-2 number, since 2×1053205402002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105320540209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 263301151 + ... + 263301550.

Almost surely, 2105320540200 is an apocalyptic number.

105320540200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105320540200 is an abundant number, since it is smaller than the sum of its proper divisors (139549716230).

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

105320540200 is a wasteful number, since it uses less digits than its factorization.

105320540200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526602717 (or 526602708 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 105320540200 its reverse (2045023501), we get a palindrome (107365563701).

The spelling of 105320540200 in words is "one hundred five billion, three hundred twenty million, five hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 526602701 1053205402 2106410804 2633013505 4212821608 5266027010 10532054020 13165067525 21064108040 26330135050 52660270100 105320540200