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10105874543 = 312347138899
BaseRepresentation
bin10010110100101101…
…10110100001101111
3222002021222121200202
421122112312201233
5131144100441133
64350443544115
7505301342042
oct113226664157
928067877622
1010105874543
114316559136
121b6052b03b
13c50909b2b
146bc242c59
153e23232e8
hex25a5b686f

10105874543 has 8 divisors (see below), whose sum is σ = 10436390400. Its totient is φ = 9775641240.

The previous prime is 10105874539. The next prime is 10105874549. The reversal of 10105874543 is 34547850101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10105874543 - 22 = 10105874539 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10105874497 and 10105874506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105874549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3308 + ... + 142206.

It is an arithmetic number, because the mean of its divisors is an integer number (1304548800).

Almost surely, 210105874543 is an apocalyptic number.

10105874543 is a deficient number, since it is larger than the sum of its proper divisors (330515857).

10105874543 is a wasteful number, since it uses less digits than its factorization.

10105874543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141277.

The product of its (nonzero) digits is 67200, while the sum is 38.

The spelling of 10105874543 in words is "ten billion, one hundred five million, eight hundred seventy-four thousand, five hundred forty-three".

Divisors: 1 31 2347 72757 138899 4305869 325995953 10105874543