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106885441 = 1354715031
BaseRepresentation
bin1100101111011…
…11000101000001
321110010100021001
412113233011001
5204330313231
614334532001
72435340235
oct627570501
9243110231
10106885441
1155374683
122b967001
13191b4830
14102a45c5
1595b4b61
hex65ef141

106885441 has 8 divisors (see below), whose sum is σ = 115325504. Its totient is φ = 98476560.

The previous prime is 106885433. The next prime is 106885451. The reversal of 106885441 is 144588601.

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

It is not a de Polignac number, because 106885441 - 23 = 106885433 is a prime.

It is a super-3 number, since 3×1068854413 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 106885441.

It is not an unprimeable number, because it can be changed into a prime (106885451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 405 + ... + 14626.

It is an arithmetic number, because the mean of its divisors is an integer number (14415688).

Almost surely, 2106885441 is an apocalyptic number.

It is an amenable number.

106885441 is a deficient number, since it is larger than the sum of its proper divisors (8440063).

106885441 is a wasteful number, since it uses less digits than its factorization.

106885441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15591.

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 106885441 is about 10338.5415315701. The cubic root of 106885441 is about 474.5764512505.

It can be divided in two parts, 10688 and 5441, that added together give a square (16129 = 1272).

The spelling of 106885441 in words is "one hundred six million, eight hundred eighty-five thousand, four hundred forty-one".

Divisors: 1 13 547 7111 15031 195403 8221957 106885441