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106138755 = 36537787
BaseRepresentation
bin1100101001110…
…00110010000011
321101201102000000
412110320302003
5204132420010
614310531043
72426110302
oct624706203
9241642000
10106138755
1154a04688
122b666a83
1318cb29c8
141014c439
1594b87c0
hex6538c83

106138755 has 56 divisors (see below), whose sum is σ = 196372752. Its totient is φ = 55007424.

The previous prime is 106138733. The next prime is 106138759. The reversal of 106138755 is 557831601.

It is not a de Polignac number, because 106138755 - 26 = 106138691 is a prime.

It is a super-2 number, since 2×1061387552 = 22530870625900050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106138759) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 134472 + ... + 135258.

Almost surely, 2106138755 is an apocalyptic number.

106138755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106138755 is a deficient number, since it is larger than the sum of its proper divisors (90233997).

106138755 is an frugal number, since it uses more digits than its factorization.

106138755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 106138755 is about 10302.3664757181. The cubic root of 106138755 is about 473.4687607042.

The spelling of 106138755 in words is "one hundred six million, one hundred thirty-eight thousand, seven hundred fifty-five".

Divisors: 1 3 5 9 15 27 37 45 81 111 135 185 243 333 405 555 729 787 999 1215 1665 2361 2997 3645 3935 4995 7083 8991 11805 14985 21249 26973 29119 35415 44955 63747 87357 106245 134865 145595 191241 262071 318735 436785 573723 786213 956205 1310355 2358639 2868615 3931065 7075917 11793195 21227751 35379585 106138755