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103327225 = 521921072
BaseRepresentation
bin1100010100010…
…10010111111001
321012102120022021
412022022113321
5202422432400
614130354441
72363160361
oct612122771
9235376267
10103327225
1153364301
122a72ba21
131853a091
14da199a1
15911071a
hex628a5f9

103327225 has 27 divisors (see below), whose sum is σ = 136499727. Its totient is φ = 77579280.

The previous prime is 103327171. The next prime is 103327249. The reversal of 103327225 is 522723301.

The square root of 103327225 is 10165.

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

It can be written as a sum of positive squares in only one way, i.e., 37197801 + 66129424 = 6099^2 + 8132^2 .

It is not a de Polignac number, because 103327225 - 27 = 103327097 is a prime.

It is a super-6 number, since 6×1033272256 (a number of 49 digits) contains 666666 as substring.

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 103327225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 965622 + ... + 965728.

Almost surely, 2103327225 is an apocalyptic number.

103327225 is the 10165-th square number.

103327225 is the 5083-rd centered octagonal number.

It is an amenable number.

103327225 is a deficient number, since it is larger than the sum of its proper divisors (33172502).

103327225 is an equidigital number, since it uses as much as digits as its factorization.

103327225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The cubic root of 103327225 is about 469.2506922577.

Multiplying 103327225 by its sum of digits (25), we get a square (2583180625 = 508252).

103327225 divided by its sum of digits (25) gives a square (4133089 = 20332).

The spelling of 103327225 in words is "one hundred three million, three hundred twenty-seven thousand, two hundred twenty-five".

Divisors: 1 5 19 25 95 107 361 475 535 1805 2033 2675 9025 10165 11449 38627 50825 57245 193135 217531 286225 965675 1087655 4133089 5438275 20665445 103327225