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105760878971 = 112874056851
BaseRepresentation
bin110001001111111010…
…1101111000101111011
3101002222122202022112112
41202133311233011323
53213044241111341
6120330314402535
710432565432006
oct1423765570573
9332878668475
10105760878971
1140942293800
12185b713044b
139c861a4777
1451941c653d
152b3ed8baeb
hex189fd6f17b

105760878971 has 6 divisors (see below), whose sum is σ = 116249561316. Its totient is φ = 96146253500.

The previous prime is 105760878947. The next prime is 105760878991. The reversal of 105760878971 is 179878067501.

It is a de Polignac number, because none of the positive numbers 2k-105760878971 is a prime.

It is a super-2 number, since 2×1057608789712 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105760878971.

It is not an unprimeable number, because it can be changed into a prime (105760878991) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 437028305 + ... + 437028546.

It is an arithmetic number, because the mean of its divisors is an integer number (19374926886).

Almost surely, 2105760878971 is an apocalyptic number.

105760878971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105760878971 is a deficient number, since it is larger than the sum of its proper divisors (10488682345).

105760878971 is an equidigital number, since it uses as much as digits as its factorization.

105760878971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874056873 (or 874056862 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 59.

The spelling of 105760878971 in words is "one hundred five billion, seven hundred sixty million, eight hundred seventy-eight thousand, nine hundred seventy-one".

Divisors: 1 11 121 874056851 9614625361 105760878971