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106713225 = 325273289
BaseRepresentation
bin1100101110001…
…01000010001001
321102210121000200
412113011002021
5204304310400
614331122413
72434022163
oct627050211
9242717020
10106713225
1155267253
122b8a3409
1319154328
141025b933
15957db00
hex65c5089

106713225 has 54 divisors (see below), whose sum is σ = 195966810. Its totient is φ = 55503360.

The previous prime is 106713209. The next prime is 106713227. The reversal of 106713225 is 522317601.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 37307664 + 69405561 = 6108^2 + 8331^2 .

It is not a de Polignac number, because 106713225 - 24 = 106713209 is a prime.

It is a super-2 number, since 2×1067132252 = 22775424779801250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106713227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1198981 + ... + 1199069.

It is an arithmetic number, because the mean of its divisors is an integer number (3629015).

Almost surely, 2106713225 is an apocalyptic number.

106713225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106713225 is a deficient number, since it is larger than the sum of its proper divisors (89253585).

106713225 is an equidigital number, since it uses as much as digits as its factorization.

106713225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 106713225 is about 10330.2093396020. The cubic root of 106713225 is about 474.3214318218.

The spelling of 106713225 in words is "one hundred six million, seven hundred thirteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 73 75 89 219 225 267 365 445 657 801 1095 1335 1825 2225 3285 4005 5329 5475 6497 6675 15987 16425 19491 20025 26645 32485 47961 58473 79935 97455 133225 162425 239805 292365 399675 474281 487275 1199025 1422843 1461825 2371405 4268529 7114215 11857025 21342645 35571075 106713225