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103938025 = 5220392
BaseRepresentation
bin1100011000111…
…11011111101001
321020120121011111
412030133133221
5203102004100
614151430321
72401313212
oct614373751
9236517144
10103938025
11537411a4
122a9853a1
13186c20b9
14db38409
1591d16ba
hex631f7e9

103938025 has 9 divisors (see below), whose sum is σ = 128946391. Its totient is φ = 83109640.

The previous prime is 103938019. The next prime is 103938031. The reversal of 103938025 is 520839301.

It is a happy number.

The square root of 103938025 is 10195.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (103938019) and next prime (103938031).

It can be written as a sum of positive squares in only one way, i.e., 37417689 + 66520336 = 6117^2 + 8156^2 .

It is not a de Polignac number, because 103938025 - 221 = 101840873 is a prime.

It is a super-2 number, since 2×1039380252 = 21606226081801250, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49956 + ... + 51994.

Almost surely, 2103938025 is an apocalyptic number.

103938025 is the 10195-th square number.

103938025 is the 5098-th centered octagonal number.

It is an amenable number.

103938025 is a deficient number, since it is larger than the sum of its proper divisors (25008366).

103938025 is an frugal number, since it uses more digits than its factorization.

103938025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4088 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The cubic root of 103938025 is about 470.1735061832.

The spelling of 103938025 in words is "one hundred three million, nine hundred thirty-eight thousand, twenty-five".

Divisors: 1 5 25 2039 10195 50975 4157521 20787605 103938025