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102443104 = 2523181769
BaseRepresentation
bin1100001101100…
…10100001100000
321010202122112001
412012302201200
5202211134404
614055413344
72352515641
oct606624140
9233678461
10102443104
1152910025
122a384254
13182ba82a
14d8696c8
158ed87a4
hex61b2860

102443104 has 48 divisors (see below), whose sum is σ = 211891680. Its totient is φ = 48660480.

The previous prime is 102443101. The next prime is 102443111. The reversal of 102443104 is 401344201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102443101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132832 + ... + 133600.

It is an arithmetic number, because the mean of its divisors is an integer number (4414410).

Almost surely, 2102443104 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 102443104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105945840).

102443104 is an abundant number, since it is smaller than the sum of its proper divisors (109448576).

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

102443104 is a wasteful number, since it uses less digits than its factorization.

102443104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 102443104 is about 10121.4180824626. The cubic root of 102443104 is about 467.9084731037.

Adding to 102443104 its reverse (401344201), we get a palindrome (503787305).

The spelling of 102443104 in words is "one hundred two million, four hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 23 32 46 92 181 184 362 368 724 736 769 1448 1538 2896 3076 4163 5792 6152 8326 12304 16652 17687 24608 33304 35374 66608 70748 133216 139189 141496 278378 282992 556756 565984 1113512 2227024 3201347 4454048 6402694 12805388 25610776 51221552 102443104