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102104544 = 25323131353
BaseRepresentation
bin1100001010111…
…11110111100000
321010010110002210
412011133313200
5202114321134
614044242120
72346605613
oct605376740
9233113083
10102104544
11526a9723
122a240340
13181cc6b9
14d7bc17a
158e6d2e9
hex615fde0

102104544 has 96 divisors (see below), whose sum is σ = 282610944. Its totient is φ = 32215040.

The previous prime is 102104543. The next prime is 102104549. The reversal of 102104544 is 445401201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 102104544.

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 15 ways as a sum of consecutive naturals, for example, 289072 + ... + 289424.

It is an arithmetic number, because the mean of its divisors is an integer number (2943864).

Almost surely, 2102104544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102104544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141305472).

102104544 is an abundant number, since it is smaller than the sum of its proper divisors (180506400).

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

102104544 is a wasteful number, since it uses less digits than its factorization.

102104544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 102104544 is about 10104.6793120811. The cubic root of 102104544 is about 467.3924470667.

Adding to 102104544 its reverse (445401201), we get a palindrome (547505745).

The spelling of 102104544 in words is "one hundred two million, one hundred four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 131 138 184 262 276 353 368 393 524 552 706 736 786 1048 1059 1104 1412 1572 2096 2118 2208 2824 3013 3144 4192 4236 5648 6026 6288 8119 8472 9039 11296 12052 12576 16238 16944 18078 24104 24357 32476 33888 36156 46243 48208 48714 64952 72312 92486 96416 97428 129904 138729 144624 184972 194856 259808 277458 289248 369944 389712 554916 739888 779424 1063589 1109832 1479776 2127178 2219664 3190767 4254356 4439328 6381534 8508712 12763068 17017424 25526136 34034848 51052272 102104544