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106273601 = 725094261
BaseRepresentation
bin1100101010110…
…01101101000001
321101222020222022
412111121231001
5204201223401
614313451225
72430211400
oct625315501
9241866868
10106273601
1154a96a25
122b710b15
131902c1b5
1410185637
1594e371b
hex6559b41

106273601 has 12 divisors (see below), whose sum is σ = 123896340. Its totient is φ = 90891360.

The previous prime is 106273589. The next prime is 106273621. The reversal of 106273601 is 106372601.

It can be written as a sum of positive squares in 2 ways, for example, as 96040000 + 10233601 = 9800^2 + 3199^2 .

It is a de Polignac number, because none of the positive numbers 2k-106273601 is a prime.

It is a super-2 number, since 2×1062736012 = 22588156539014402, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106273621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22811 + ... + 27071.

It is an arithmetic number, because the mean of its divisors is an integer number (10324695).

Almost surely, 2106273601 is an apocalyptic number.

It is an amenable number.

106273601 is a deficient number, since it is larger than the sum of its proper divisors (17622739).

106273601 is an equidigital number, since it uses as much as digits as its factorization.

106273601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4784 (or 4777 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 106273601 is about 10308.9088171348. The cubic root of 106273601 is about 473.6691849813.

The spelling of 106273601 in words is "one hundred six million, two hundred seventy-three thousand, six hundred one".

Divisors: 1 7 49 509 3563 4261 24941 29827 208789 2168849 15181943 106273601