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106438085 = 5133744257
BaseRepresentation
bin1100101100000…
…01110111000101
321102021121121022
412112001313011
5204222004320
614321200525
72431465055
oct626016705
9242247538
10106438085
1155099566
122b790145
1319089020
14101c9565
159527325
hex6581dc5

106438085 has 16 divisors (see below), whose sum is σ = 141271536. Its totient is φ = 76474368.

The previous prime is 106438067. The next prime is 106438093. The reversal of 106438085 is 580834601.

It can be written as a sum of positive squares in 8 ways, for example, as 5997601 + 100440484 = 2449^2 + 10022^2 .

It is a cyclic number.

It is not a de Polignac number, because 106438085 - 26 = 106438021 is a prime.

It is a super-2 number, since 2×1064380852 = 22658131876934450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19724 + ... + 24533.

It is an arithmetic number, because the mean of its divisors is an integer number (8829471).

Almost surely, 2106438085 is an apocalyptic number.

It is an amenable number.

106438085 is a deficient number, since it is larger than the sum of its proper divisors (34833451).

106438085 is a wasteful number, since it uses less digits than its factorization.

106438085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44312.

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 106438085 is about 10316.8834926057. The cubic root of 106438085 is about 473.9134314064.

The spelling of 106438085 in words is "one hundred six million, four hundred thirty-eight thousand, eighty-five".

Divisors: 1 5 13 37 65 185 481 2405 44257 221285 575341 1637509 2876705 8187545 21287617 106438085