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105380353 = 138106181
BaseRepresentation
bin1100100011111…
…11101000000001
321100021212200001
412101333220001
5203434132403
614242400001
72416501231
oct621775001
9240255601
10105380353
1154536901
122b360001
1318aa8750
14ddd1cc1
1593b8c1d
hex647fa01

105380353 has 4 divisors (see below), whose sum is σ = 113486548. Its totient is φ = 97274160.

The previous prime is 105380311. The next prime is 105380357. The reversal of 105380353 is 353083501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 34433424 + 70946929 = 5868^2 + 8423^2 .

It is a cyclic number.

It is not a de Polignac number, because 105380353 - 217 = 105249281 is a prime.

It is a super-2 number, since 2×1053803532 = 22210037596809218, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105380357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4053078 + ... + 4053103.

It is an arithmetic number, because the mean of its divisors is an integer number (28371637).

Almost surely, 2105380353 is an apocalyptic number.

105380353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105380353 is a deficient number, since it is larger than the sum of its proper divisors (8106195).

105380353 is an equidigital number, since it uses as much as digits as its factorization.

105380353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8106194.

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 105380353 is about 10265.4933149849. The cubic root of 105380353 is about 472.3383589007.

It can be divided in two parts, 1053 and 80353, that added together give a triangular number (81406 = T403).

The spelling of 105380353 in words is "one hundred five million, three hundred eighty thousand, three hundred fifty-three".

Divisors: 1 13 8106181 105380353