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105246980 = 2255262349
BaseRepresentation
bin1100100010111…
…11000100000100
321100001002201022
412101133010010
5203420400410
614235450312
72415404336
oct621370404
9240032638
10105246980
1154455683
122b2b6998
1318a5cb27
14dd99456
15938e455
hex645f104

105246980 has 12 divisors (see below), whose sum is σ = 221018700. Its totient is φ = 42098784.

The previous prime is 105246941. The next prime is 105246989. The reversal of 105246980 is 89642501.

It can be written as a sum of positive squares in 2 ways, for example, as 31561924 + 73685056 = 5618^2 + 8584^2 .

It is a super-2 number, since 2×1052469802 = 22153853598240800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105246980.

It is not an unprimeable number, because it can be changed into a prime (105246989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2631155 + ... + 2631194.

It is an arithmetic number, because the mean of its divisors is an integer number (18418225).

Almost surely, 2105246980 is an apocalyptic number.

105246980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105246980 is an abundant number, since it is smaller than the sum of its proper divisors (115771720).

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

105246980 is a wasteful number, since it uses less digits than its factorization.

105246980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5262358 (or 5262356 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 105246980 is about 10258.9950774918. The cubic root of 105246980 is about 472.1390055489.

The spelling of 105246980 in words is "one hundred five million, two hundred forty-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 5262349 10524698 21049396 26311745 52623490 105246980