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106820080873 = 11172127264581
BaseRepresentation
bin110001101111011111…
…0010001010011101001
3101012201110211100101121
41203132332101103221
53222231420041443
6121023353015241
710501046464132
oct1433676212351
9335643740347
10106820080873
1141336172880
12188519b4521
13a0c476c55c
145254b44c89
152ba2d644ed
hex18def914e9

106820080873 has 24 divisors (see below), whose sum is σ = 124764171264. Its totient is φ = 90676857600.

The previous prime is 106820080853. The next prime is 106820080877. The reversal of 106820080873 is 378080028601.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-106820080873 is a prime.

It is a super-2 number, since 2×1068200808732 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106820080877) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271443 + ... + 536023.

It is an arithmetic number, because the mean of its divisors is an integer number (5198507136).

Almost surely, 2106820080873 is an apocalyptic number.

It is an amenable number.

106820080873 is a deficient number, since it is larger than the sum of its proper divisors (17944090391).

106820080873 is a wasteful number, since it uses less digits than its factorization.

106820080873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264753 (or 264736 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The spelling of 106820080873 in words is "one hundred six billion, eight hundred twenty million, eighty thousand, eight hundred seventy-three".

Divisors: 1 11 17 127 187 289 1397 2159 3179 23749 36703 264581 403733 2910391 4497877 33601787 49476647 76463909 369619657 571230379 841102999 6283534169 9710916443 106820080873