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106023135 = 35171979277
BaseRepresentation
bin1100101000111…
…00100011011111
321101111112101210
412110130203133
5204120220020
614304235503
72425116231
oct624344337
9241445353
10106023135
1154935829
122b60bb93
1318c721aa
141011c251
1594943e0
hex651c8df

106023135 has 64 divisors (see below), whose sum is σ = 192153600. Its totient is φ = 49600512.

The previous prime is 106023133. The next prime is 106023143. The reversal of 106023135 is 531320601.

It is not a de Polignac number, because 106023135 - 21 = 106023133 is a prime.

It is a super-2 number, since 2×1060231352 = 22481810310456450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106023133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 382617 + ... + 382893.

It is an arithmetic number, because the mean of its divisors is an integer number (3002400).

Almost surely, 2106023135 is an apocalyptic number.

106023135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106023135 is a deficient number, since it is larger than the sum of its proper divisors (86130465).

106023135 is a wasteful number, since it uses less digits than its factorization.

106023135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 106023135 is about 10296.7536146108. The cubic root of 106023135 is about 473.2967771918.

Adding to 106023135 its reverse (531320601), we get a palindrome (637343736).

The spelling of 106023135 in words is "one hundred six million, twenty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 15 17 19 51 57 79 85 95 237 255 277 285 323 395 831 969 1185 1343 1385 1501 1615 4029 4155 4503 4709 4845 5263 6715 7505 14127 15789 20145 21883 22515 23545 25517 26315 65649 70635 76551 78945 89471 109415 127585 268413 328245 372011 382755 415777 447355 1116033 1247331 1342065 1860055 2078885 5580165 6236655 7068209 21204627 35341045 106023135