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106427941 = 297350273
BaseRepresentation
bin1100101011111…
…11011000100101
321102021002200121
412111333120211
5204221143231
614321041541
72431423354
oct625773045
9242232617
10106427941
1155091984
122b7862b1
1319084519
14101c599b
159524311
hex657f625

106427941 has 8 divisors (see below), whose sum is σ = 111608280. Its totient is φ = 101348352.

The previous prime is 106427921. The next prime is 106427953. The reversal of 106427941 is 149724601.

It can be written as a sum of positive squares in 4 ways, for example, as 24453025 + 81974916 = 4945^2 + 9054^2 .

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 106427941 - 27 = 106427813 is a prime.

It is a super-2 number, since 2×1064279412 = 22653813250998962, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106427897 and 106427906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106427921) 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, 23020 + ... + 27253.

It is an arithmetic number, because the mean of its divisors is an integer number (13951035).

Almost surely, 2106427941 is an apocalyptic number.

It is an amenable number.

106427941 is a deficient number, since it is larger than the sum of its proper divisors (5180339).

106427941 is an equidigital number, since it uses as much as digits as its factorization.

106427941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50375.

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 106427941 is about 10316.3918595602. The cubic root of 106427941 is about 473.8983756095.

The spelling of 106427941 in words is "one hundred six million, four hundred twenty-seven thousand, nine hundred forty-one".

Divisors: 1 29 73 2117 50273 1457917 3669929 106427941