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102403104 = 2531723691
BaseRepresentation
bin1100001101010…
…00110000100000
321010200121122120
412012220300200
5202203344404
614054504240
72352261216
oct606506040
9233617576
10102403104
1152892a71
122a365080
13182a556b
14d858cb6
158ecb9d9
hex61a8c20

102403104 has 72 divisors (see below), whose sum is σ = 285627888. Its totient is φ = 32117760.

The previous prime is 102403073. The next prime is 102403109. The reversal of 102403104 is 401304201.

It is not an unprimeable number, because it can be changed into a prime (102403109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25899 + ... + 29589.

It is an arithmetic number, because the mean of its divisors is an integer number (3967054).

Almost surely, 2102403104 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 102403104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142813944).

102403104 is an abundant number, since it is smaller than the sum of its proper divisors (183224784).

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

102403104 is a wasteful number, since it uses less digits than its factorization.

102403104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 102403104 is about 10119.4418818431. The cubic root of 102403104 is about 467.8475652283.

Adding to 102403104 its reverse (401304201), we get a palindrome (503707305).

The spelling of 102403104 in words is "one hundred two million, four hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 289 408 544 578 816 867 1156 1632 1734 2312 3468 3691 4624 6936 7382 9248 11073 13872 14764 22146 27744 29528 44292 59056 62747 88584 118112 125494 177168 188241 250988 354336 376482 501976 752964 1003952 1066699 1505928 2007904 2133398 3011856 3200097 4266796 6023712 6400194 8533592 12800388 17067184 25600776 34134368 51201552 102403104