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103874067025 = 527328832
BaseRepresentation
bin110000010111101100…
…0000111101001010001
3100221010011101100010121
41200233120013221101
53200213230121100
6115415153430241
710335045000361
oct1405730075121
9327104340117
10103874067025
1140064225a93
121816b26b381
139a4530a8b1
1450557929a1
152a7e3d651a
hex182f607a51

103874067025 has 27 divisors (see below), whose sum is σ = 130740513489. Its totient is φ = 81868086720.

The previous prime is 103874067023. The next prime is 103874067047. The reversal of 103874067025 is 520760478301.

The square root of 103874067025 is 322295.

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

It can be written as a sum of positive squares in 4 ways, for example, as 568393281 + 103305673744 = 23841^2 + 321412^2 .

It is not a de Polignac number, because 103874067025 - 21 = 103874067023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103874067023) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 117637234 + ... + 117638116.

Almost surely, 2103874067025 is an apocalyptic number.

103874067025 is the 322295-th square number.

103874067025 is the 161148-th centered octagonal number.

It is an amenable number.

103874067025 is a deficient number, since it is larger than the sum of its proper divisors (26866446464).

103874067025 is an frugal number, since it uses more digits than its factorization.

103874067025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 103874067025 in words is "one hundred three billion, eight hundred seventy-four million, sixty-seven thousand, twenty-five".

Divisors: 1 5 25 73 365 883 1825 4415 5329 22075 26645 64459 133225 322295 779689 1611475 3898445 4705507 19492225 23527535 56917297 117637675 284586485 1422932425 4154962681 20774813405 103874067025