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105842695079 = 11172797202361
BaseRepresentation
bin110001010010010110…
…1110101101110100111
3101010012100201000010202
41202210231311232213
53213231212220304
6120342400141115
710434611030642
oct1424455655647
9333170630122
10105842695079
1140984495420
121861a60779b
139c9a11c674
1451a1002a59
152b4714d81e
hex18a4b75ba7

105842695079 has 16 divisors (see below), whose sum is σ = 122301117216. Its totient is φ = 90527769600.

The previous prime is 105842695073. The next prime is 105842695093. The reversal of 105842695079 is 970596248501.

It is a cyclic number.

It is not a de Polignac number, because 105842695079 - 212 = 105842690983 is a prime.

It is a super-2 number, since 2×1058426950792 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105842695073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421859 + ... + 624219.

It is an arithmetic number, because the mean of its divisors is an integer number (7643819826).

Almost surely, 2105842695079 is an apocalyptic number.

105842695079 is a deficient number, since it is larger than the sum of its proper divisors (16458422137).

105842695079 is a wasteful number, since it uses less digits than its factorization.

105842695079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205186.

The product of its (nonzero) digits is 5443200, while the sum is 56.

The spelling of 105842695079 in words is "one hundred five billion, eight hundred forty-two million, six hundred ninety-five thousand, seventy-nine".

Divisors: 1 11 17 187 2797 30767 47549 202361 523039 2225971 3440137 37841507 566003717 6226040887 9622063189 105842695079