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105127 = 1119503
BaseRepresentation
bin11001101010100111
312100012121
4121222213
511331002
62130411
7615331
oct315247
9170177
10105127
1171a90
1250a07
1338b09
142a451
1521237
hex19aa7

105127 has 8 divisors (see below), whose sum is σ = 120960. Its totient is φ = 90360.

The previous prime is 105107. The next prime is 105137. The reversal of 105127 is 721501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105127 - 27 = 104999 is a prime.

It is a super-2 number, since 2×1051272 = 22103372258, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43 + ... + 460.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2105127 is an apocalyptic number.

105127 is a deficient number, since it is larger than the sum of its proper divisors (15833).

105127 is a wasteful number, since it uses less digits than its factorization.

105127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533.

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 105127 is about 324.2329409545. The cubic root of 105127 is about 47.1959526837.

Subtracting from 105127 its sum of digits (16), we obtain a triangular number (105111 = T458).

Adding to 105127 its reverse (721501), we get a palindrome (826628).

It can be divided in two parts, 105 and 127, that added together give a palindrome (232).

The spelling of 105127 in words is "one hundred five thousand, one hundred twenty-seven".

Divisors: 1 11 19 209 503 5533 9557 105127