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106632941 = 616532677
BaseRepresentation
bin1100101101100…
…01011011101101
321102122111220012
412112301123231
5204244223231
614325303005
72433236132
oct626613355
9242574805
10106632941
11552119a8
122b864a65
131912691c
141023a589
159564e2b
hex65b16ed

106632941 has 8 divisors (see below), whose sum is σ = 108587544. Its totient is φ = 104685120.

The previous prime is 106632937. The next prime is 106632949. The reversal of 106632941 is 149236601.

106632941 = T213 + T214 + ... + T865.

It can be written as a sum of positive squares in 4 ways, for example, as 14280841 + 92352100 = 3779^2 + 9610^2 .

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 106632941 - 22 = 106632937 is a prime.

It is a super-2 number, since 2×1066329412 = 22741168212618962, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106632898 and 106632907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106632949) 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, 38495 + ... + 41171.

It is an arithmetic number, because the mean of its divisors is an integer number (13573443).

Almost surely, 2106632941 is an apocalyptic number.

It is an amenable number.

106632941 is a deficient number, since it is larger than the sum of its proper divisors (1954603).

106632941 is an equidigital number, since it uses as much as digits as its factorization.

106632941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3391.

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 106632941 is about 10326.3227239904. The cubic root of 106632941 is about 474.2024525808.

The spelling of 106632941 in words is "one hundred six million, six hundred thirty-two thousand, nine hundred forty-one".

Divisors: 1 61 653 2677 39833 163297 1748081 106632941