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106267645 = 5112175649
BaseRepresentation
bin1100101010110…
…00001111111101
321101221221210201
412111120033331
5204201031040
614313403501
72430155131
oct625301775
9241857721
10106267645
1154a92500
122b709591
1319029583
14101833c1
1594e1a9a
hex65583fd

106267645 has 12 divisors (see below), whose sum is σ = 140168700. Its totient is φ = 77285120.

The previous prime is 106267619. The next prime is 106267649. The reversal of 106267645 is 546762601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 61685316 + 44582329 = 7854^2 + 6677^2 .

It is not a de Polignac number, because 106267645 - 211 = 106265597 is a prime.

It is a super-2 number, since 2×1062676452 = 22585624747692050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106267649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87220 + ... + 88429.

It is an arithmetic number, because the mean of its divisors is an integer number (11680725).

Almost surely, 2106267645 is an apocalyptic number.

It is an amenable number.

106267645 is a deficient number, since it is larger than the sum of its proper divisors (33901055).

106267645 is a wasteful number, since it uses less digits than its factorization.

106267645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175676 (or 175665 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 106267645 is about 10308.6199367326. The cubic root of 106267645 is about 473.6603360406.

The spelling of 106267645 in words is "one hundred six million, two hundred sixty-seven thousand, six hundred forty-five".

Divisors: 1 5 11 55 121 605 175649 878245 1932139 9660695 21253529 106267645