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106877521 = 1753118621
BaseRepresentation
bin1100101111011…
…01001001010001
321110002221101201
412113231021101
5204330040041
614334431201
72435305162
oct627551121
9243087351
10106877521
1155369733
122b962501
13191b104a
14102a1769
1595b2631
hex65ed251

106877521 has 8 divisors (see below), whose sum is σ = 115300584. Its totient is φ = 98691840.

The previous prime is 106877509. The next prime is 106877539. The reversal of 106877521 is 125778601.

It can be written as a sum of positive squares in 4 ways, for example, as 45427600 + 61449921 = 6740^2 + 7839^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 106877521 - 29 = 106877009 is a prime.

It is a super-2 number, since 2×1068775212 = 22845608990210882, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106877581) 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, 58410 + ... + 60211.

It is an arithmetic number, because the mean of its divisors is an integer number (14412573).

Almost surely, 2106877521 is an apocalyptic number.

It is an amenable number.

106877521 is a deficient number, since it is larger than the sum of its proper divisors (8423063).

106877521 is a wasteful number, since it uses less digits than its factorization.

106877521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118691.

The product of its (nonzero) digits is 23520, while the sum is 37.

The square root of 106877521 is about 10338.1584917238. The cubic root of 106877521 is about 474.5647292352.

The spelling of 106877521 in words is "one hundred six million, eight hundred seventy-seven thousand, five hundred twenty-one".

Divisors: 1 17 53 901 118621 2016557 6286913 106877521