Search a number
-
+
102104917 = 1931229757
BaseRepresentation
bin1100001010111…
…11111101010101
321010010110121121
412011133331111
5202114324132
614044243541
72346606655
oct605377525
9233113547
10102104917
11526a9a32
122a2405b1
13181cc915
14d7bc365
158e6d497
hex615ff55

102104917 has 16 divisors (see below), whose sum is σ = 111577600. Its totient is φ = 93078720.

The previous prime is 102104909. The next prime is 102104921. The reversal of 102104917 is 719401201.

It is not a de Polignac number, because 102104917 - 23 = 102104909 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102104891 and 102104900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102104957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134503 + ... + 135259.

It is an arithmetic number, because the mean of its divisors is an integer number (6973600).

Almost surely, 2102104917 is an apocalyptic number.

It is an amenable number.

102104917 is a deficient number, since it is larger than the sum of its proper divisors (9472683).

102104917 is a wasteful number, since it uses less digits than its factorization.

102104917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036.

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 102104917 is about 10104.6977688598. The cubic root of 102104917 is about 467.3930162126.

The spelling of 102104917 in words is "one hundred two million, one hundred four thousand, nine hundred seventeen".

Divisors: 1 19 31 229 589 757 4351 7099 14383 23467 134881 173353 445873 3293707 5373943 102104917