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100005325 = 527281637
BaseRepresentation
bin1011111010111…
…11010111001101
320222011210111221
411331133113031
5201100132300
613531243341
72323013500
oct575372715
9228153457
10100005325
11514a5532
12295a9551
1317946064
14d3d3137
158ba631a
hex5f5f5cd

100005325 has 18 divisors (see below), whose sum is σ = 144254346. Its totient is φ = 68574240.

The previous prime is 100005319. The next prime is 100005343. The reversal of 100005325 is 523500001.

It can be written as a sum of positive squares in 3 ways, for example, as 12152196 + 87853129 = 3486^2 + 9373^2 .

It is not a de Polignac number, because 100005325 - 23 = 100005317 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100005299 and 100005308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39594 + ... + 42043.

Almost surely, 2100005325 is an apocalyptic number.

It is an amenable number.

100005325 is a deficient number, since it is larger than the sum of its proper divisors (44249021).

100005325 is an equidigital number, since it uses as much as digits as its factorization.

100005325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81661 (or 81649 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 100005325 is about 10000.2662464556. The cubic root of 100005325 is about 464.1671220352.

Adding to 100005325 its reverse (523500001), we get a palindrome (623505326).

The spelling of 100005325 in words is "one hundred million, five thousand, three hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 81637 408185 571459 2040925 2857295 4000213 14286475 20001065 100005325