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105670457871 = 31167306715583
BaseRepresentation
bin110001001101001110…
…0110011101000001111
3101002202100121110002220
41202122130303220033
53212403114122441
6120313324350423
710430420033436
oct1423234635017
9332670543086
10105670457871
11408a6245020
12185909a5413
139c70535c64
1451861aa11d
152b36e7a466
hex189a733a0f

105670457871 has 32 divisors (see below), whose sum is σ = 156057427968. Its totient is φ = 63062223840.

The previous prime is 105670457869. The next prime is 105670457891. The reversal of 105670457871 is 178754076501.

It is not a de Polignac number, because 105670457871 - 21 = 105670457869 is a prime.

It is a super-2 number, since 2×1056704578712 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105670457861) 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 31 ways as a sum of consecutive naturals, for example, 6773346 + ... + 6788928.

It is an arithmetic number, because the mean of its divisors is an integer number (4876794624).

Almost surely, 2105670457871 is an apocalyptic number.

105670457871 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105670457871 is a deficient number, since it is larger than the sum of its proper divisors (50386970097).

105670457871 is a wasteful number, since it uses less digits than its factorization.

105670457871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18731.

The product of its (nonzero) digits is 1646400, while the sum is 51.

The spelling of 105670457871 in words is "one hundred five billion, six hundred seventy million, four hundred fifty-seven thousand, eight hundred seventy-one".

Divisors: 1 3 11 33 67 201 737 2211 3067 9201 15583 33737 46749 101211 171413 205489 514239 616467 1044061 2260379 3132183 6781137 11484671 34454013 47793061 143379183 525723671 1577171013 3202135087 9606405261 35223485957 105670457871