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101136105 = 32573110357
BaseRepresentation
bin1100000011100…
…11011011101001
321001022020122200
412001303123221
5201342323410
614011410413
72335433310
oct601633351
9231266580
10101136105
11520a8064
1229a53a09
1317c50965
14d609277
158d2b3c0
hex60736e9

101136105 has 48 divisors (see below), whose sum is σ = 206828544. Its totient is φ = 44737920.

The previous prime is 101136097. The next prime is 101136127. The reversal of 101136105 is 501631101.

It is not a de Polignac number, because 101136105 - 23 = 101136097 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4587 + ... + 14943.

It is an arithmetic number, because the mean of its divisors is an integer number (4308928).

Almost surely, 2101136105 is an apocalyptic number.

101136105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101136105 is an abundant number, since it is smaller than the sum of its proper divisors (105692439).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101136105 is a wasteful number, since it uses less digits than its factorization.

101136105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10406 (or 10403 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 101136105 is about 10056.6448182284. The cubic root of 101136105 is about 465.9100457558.

Adding to 101136105 its reverse (501631101), we get a palindrome (602767206).

The spelling of 101136105 in words is "one hundred one million, one hundred thirty-six thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 31 35 45 63 93 105 155 217 279 315 465 651 1085 1395 1953 3255 9765 10357 31071 51785 72499 93213 155355 217497 321067 362495 466065 652491 963201 1087485 1605335 2247469 2889603 3262455 4816005 6742407 11237345 14448015 20227221 33712035 101136105