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106399225 = 5220632
BaseRepresentation
bin1100101011110…
…00010111111001
321102012122022001
412111320113321
5204214233400
614320301001
72431243552
oct625702771
9242178261
10106399225
1155072349
122b771761
131907442a
14101b9329
15951aa6a
hex65785f9

106399225 has 9 divisors (see below), whose sum is σ = 131999023. Its totient is φ = 85078120.

The previous prime is 106399201. The next prime is 106399229. The reversal of 106399225 is 522993601.

The square root of 106399225 is 10315.

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., 38303721 + 68095504 = 6189^2 + 8252^2 .

It is not a de Polignac number, because 106399225 - 223 = 98010617 is a prime.

It is a super-2 number, since 2×1063992252 = 22641590161201250, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106399229) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 50544 + ... + 52606.

Almost surely, 2106399225 is an apocalyptic number.

106399225 is the 10315-th square number.

106399225 is the 5158-th centered octagonal number.

It is an amenable number.

106399225 is a deficient number, since it is larger than the sum of its proper divisors (25599798).

106399225 is an frugal number, since it uses more digits than its factorization.

106399225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4136 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The cubic root of 106399225 is about 473.8557499301.

The spelling of 106399225 in words is "one hundred six million, three hundred ninety-nine thousand, two hundred twenty-five".

Divisors: 1 5 25 2063 10315 51575 4255969 21279845 106399225