Search a number
-
+
102441105 = 3451319457
BaseRepresentation
bin1100001101100…
…10000010010001
321010202112210000
412012302002101
5202211103410
614055400213
72352510054
oct606620221
9233675700
10102441105
1152909578
122a383069
13182b9950
14d868a9b
158ed7dc0
hex61b2091

102441105 has 40 divisors (see below), whose sum is σ = 197771112. Its totient is φ = 50429952.

The previous prime is 102441067. The next prime is 102441107. The reversal of 102441105 is 501144201.

It can be written as a sum of positive squares in 4 ways, for example, as 8661249 + 93779856 = 2943^2 + 9684^2 .

It is not a de Polignac number, because 102441105 - 26 = 102441041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102441107) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4464 + ... + 14993.

Almost surely, 2102441105 is an apocalyptic number.

102441105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102441105 is a deficient number, since it is larger than the sum of its proper divisors (95330007).

102441105 is a wasteful number, since it uses less digits than its factorization.

102441105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19487 (or 19478 counting only the distinct ones).

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

The square root of 102441105 is about 10121.3193309963. The cubic root of 102441105 is about 467.9054296091.

Adding to 102441105 its reverse (501144201), we get a palindrome (603585306).

The spelling of 102441105 in words is "one hundred two million, four hundred forty-one thousand, one hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 585 1053 1755 5265 19457 58371 97285 175113 252941 291855 525339 758823 875565 1264705 1576017 2276469 2626695 3794115 6829407 7880085 11382345 20488221 34147035 102441105