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106306250 = 25573233
BaseRepresentation
bin1100101011000…
…01101011001010
321102000220202112
412111201223022
5204203300000
614314302322
72430405521
oct625415312
9242026675
10106306250
1155009506
122b7279a2
131904100b
14101934b8
1594ed235
hex6561aca

106306250 has 48 divisors (see below), whose sum is σ = 202908888. Its totient is φ = 41760000.

The previous prime is 106306247. The next prime is 106306261. The reversal of 106306250 is 52603601.

It can be written as a sum of positive squares in 12 ways, for example, as 62362609 + 43943641 = 7897^2 + 6629^2 .

It is a super-2 number, since 2×1063062502 = 22602037578125000, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 456134 + ... + 456366.

Almost surely, 2106306250 is an apocalyptic number.

106306250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106306250 is a deficient number, since it is larger than the sum of its proper divisors (96602638).

106306250 is an frugal number, since it uses more digits than its factorization.

106306250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 106306250 is about 10310.4922287930. The cubic root of 106306250 is about 473.7176863390.

Adding to 106306250 its reverse (52603601), we get a palindrome (158909851).

The spelling of 106306250 in words is "one hundred six million, three hundred six thousand, two hundred fifty".

Divisors: 1 2 5 10 25 50 73 125 146 233 250 365 466 625 730 1165 1250 1825 2330 3125 3650 5825 6250 9125 11650 17009 18250 29125 34018 45625 58250 85045 91250 145625 170090 228125 291250 425225 456250 728125 850450 1456250 2126125 4252250 10630625 21261250 53153125 106306250