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102145525 = 526536257
BaseRepresentation
bin1100001011010…
…01110111110101
321010012112022121
412011221313311
5202122124100
614045155541
72350136236
oct605516765
9233175277
10102145525
1152727499
122a25bbb1
1318215251
14d7cd08d
158e7a51a
hex6169df5

102145525 has 12 divisors (see below), whose sum is σ = 126874692. Its totient is φ = 81578240.

The previous prime is 102145513. The next prime is 102145529. The reversal of 102145525 is 525541201.

It can be written as a sum of positive squares in 6 ways, for example, as 357604 + 101787921 = 598^2 + 10089^2 .

It is not a de Polignac number, because 102145525 - 211 = 102143477 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102145525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102145529) 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, 13197 + ... + 19453.

It is an arithmetic number, because the mean of its divisors is an integer number (10572891).

Almost surely, 2102145525 is an apocalyptic number.

It is an amenable number.

102145525 is a deficient number, since it is larger than the sum of its proper divisors (24729167).

102145525 is an equidigital number, since it uses as much as digits as its factorization.

102145525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6920 (or 6915 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 102145525 is about 10106.7069315381. The cubic root of 102145525 is about 467.4549700687.

Adding to 102145525 its reverse (525541201), we get a palindrome (627686726).

The spelling of 102145525 in words is "one hundred two million, one hundred forty-five thousand, five hundred twenty-five".

Divisors: 1 5 25 653 3265 6257 16325 31285 156425 4085821 20429105 102145525