Search a number
-
+
102104541 = 32711251587
BaseRepresentation
bin1100001010111…
…11110111011101
321010010110002200
412011133313131
5202114321131
614044242113
72346605610
oct605376735
9233113080
10102104541
11526a9720
122a240339
13181cc6b6
14d7bc177
158e6d2e6
hex615fddd

102104541 has 48 divisors (see below), whose sum is σ = 184923648. Its totient is φ = 52740000.

The previous prime is 102104531. The next prime is 102104543. The reversal of 102104541 is 145401201.

102104541 is a `hidden beast` number, since 1 + 0 + 210 + 454 + 1 = 666.

It is not a de Polignac number, because 102104541 - 29 = 102104029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102104543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173650 + ... + 174236.

It is an arithmetic number, because the mean of its divisors is an integer number (3852576).

Almost surely, 2102104541 is an apocalyptic number.

102104541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102104541 is a deficient number, since it is larger than the sum of its proper divisors (82819107).

102104541 is a wasteful number, since it uses less digits than its factorization.

102104541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 102104541 is about 10104.6791636350. The cubic root of 102104541 is about 467.3924424891.

Adding to 102104541 its reverse (145401201), we get a palindrome (247505742).

The spelling of 102104541 in words is "one hundred two million, one hundred four thousand, five hundred forty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 251 587 693 753 1757 1761 2259 2761 4109 5271 5283 6457 8283 12327 15813 19327 19371 24849 36981 45199 57981 58113 135597 147337 173943 406791 442011 1031359 1326033 1620707 3094077 4862121 9282231 11344949 14586363 34034847 102104541