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106978752385 = 531767494481
BaseRepresentation
bin110001110100001101…
…1100011011110000001
3101020010112101200210021
41203220123203132001
53223043030034020
6121051221533441
710505014251241
oct1435033433601
9336115350707
10106978752385
114140779805a
1218896b74281
13a11b5b641b
14526bc49b21
152bb1c581aa
hex18e86e3781

106978752385 has 8 divisors (see below), whose sum is σ = 128779471656. Its totient is φ = 85313022720.

The previous prime is 106978752329. The next prime is 106978752401. The reversal of 106978752385 is 583257879601.

It can be written as a sum of positive squares in 4 ways, for example, as 6202980081 + 100775772304 = 78759^2 + 317452^2 .

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

It is not a de Polignac number, because 106978752385 - 211 = 106978750337 is a prime.

It is a super-2 number, since 2×1069787523852 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33745656 + ... + 33748825.

It is an arithmetic number, because the mean of its divisors is an integer number (16097433957).

Almost surely, 2106978752385 is an apocalyptic number.

It is an amenable number.

106978752385 is a deficient number, since it is larger than the sum of its proper divisors (21800719271).

106978752385 is an equidigital number, since it uses as much as digits as its factorization.

106978752385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67494803.

The product of its (nonzero) digits is 25401600, while the sum is 61.

The spelling of 106978752385 in words is "one hundred six billion, nine hundred seventy-eight million, seven hundred fifty-two thousand, three hundred eighty-five".

Divisors: 1 5 317 1585 67494481 337472405 21395750477 106978752385