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102532104 = 23325397277
BaseRepresentation
bin1100001110010…
…00010000001000
321010221011121100
412013020100020
5202222011404
614101341400
72353336263
oct607102010
9233834540
10102532104
1152970984
122a407860
131831c1ac
14d88dcda
159004d39
hex61c8408

102532104 has 96 divisors (see below), whose sum is σ = 286879320. Its totient is φ = 33067008.

The previous prime is 102532061. The next prime is 102532109. The reversal of 102532104 is 401235201.

It can be written as a sum of positive squares in 4 ways, for example, as 80460900 + 22071204 = 8970^2 + 4698^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102532109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370014 + ... + 370290.

Almost surely, 2102532104 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 102532104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143439660).

102532104 is an abundant number, since it is smaller than the sum of its proper divisors (184347216).

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

102532104 is a wasteful number, since it uses less digits than its factorization.

102532104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 102532104 is about 10125.8137450775. The cubic root of 102532104 is about 468.0439362652.

Adding to 102532104 its reverse (401235201), we get a palindrome (503767305).

The spelling of 102532104 in words is "one hundred two million, five hundred thirty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 97 106 159 194 212 277 291 318 388 424 477 554 582 636 776 831 873 954 1108 1164 1272 1662 1746 1908 2216 2328 2493 3324 3492 3816 4986 5141 6648 6984 9972 10282 14681 15423 19944 20564 26869 29362 30846 41128 44043 46269 53738 58724 61692 80607 88086 92538 107476 117448 123384 132129 161214 176172 185076 214952 241821 264258 322428 352344 370152 483642 528516 644856 967284 1057032 1424057 1934568 2848114 4272171 5696228 8544342 11392456 12816513 17088684 25633026 34177368 51266052 102532104