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106258329 = 3211806481
BaseRepresentation
bin1100101010101…
…01111110011001
321101221111000200
412111111332121
5204200231304
614313252413
72430116022
oct625257631
9241844020
10106258329
1154a86501
122b704109
1319025268
141017dc49
1594dde39
hex6555f99

106258329 has 6 divisors (see below), whose sum is σ = 153484266. Its totient is φ = 70838880.

The previous prime is 106258319. The next prime is 106258357. The reversal of 106258329 is 923852601.

106258329 is a `hidden beast` number, since 1 + 0 + 625 + 8 + 3 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89019225 + 17239104 = 9435^2 + 4152^2 .

It is not a de Polignac number, because 106258329 - 29 = 106257817 is a prime.

It is a super-2 number, since 2×1062583292 = 22581664963744482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106258293 and 106258302.

It is not an unprimeable number, because it can be changed into a prime (106258319) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5903232 + ... + 5903249.

It is an arithmetic number, because the mean of its divisors is an integer number (25580711).

Almost surely, 2106258329 is an apocalyptic number.

It is an amenable number.

106258329 is a deficient number, since it is larger than the sum of its proper divisors (47225937).

106258329 is a wasteful number, since it uses less digits than its factorization.

106258329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11806487 (or 11806484 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 106258329 is about 10308.1680719709. The cubic root of 106258329 is about 473.6464944220.

The spelling of 106258329 in words is "one hundred six million, two hundred fifty-eight thousand, three hundred twenty-nine".

Divisors: 1 3 9 11806481 35419443 106258329