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106832925 = 345252757
BaseRepresentation
bin1100101111000…
…10010000011101
321110000200020000
412113202100131
5204322123200
614333444513
72435031153
oct627422035
9243020200
10106832925
1155339181
122b940739
1319196964
141028d3d3
1595a4300
hex65e241d

106832925 has 30 divisors (see below), whose sum is σ = 197895258. Its totient is φ = 56976480.

The previous prime is 106832923. The next prime is 106832959. The reversal of 106832925 is 529238601.

It can be written as a sum of positive squares in 3 ways, for example, as 21399876 + 85433049 = 4626^2 + 9243^2 .

It is not a de Polignac number, because 106832925 - 21 = 106832923 is a prime.

It is a super-2 number, since 2×1068329252 = 22826547728111250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106832925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106832923) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 24354 + ... + 28403.

Almost surely, 2106832925 is an apocalyptic number.

106832925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106832925 is a deficient number, since it is larger than the sum of its proper divisors (91062333).

106832925 is an equidigital number, since it uses as much as digits as its factorization.

106832925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52779 (or 52765 counting only the distinct ones).

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

The square root of 106832925 is about 10336.0014028637. The cubic root of 106832925 is about 474.4987140034.

The spelling of 106832925 in words is "one hundred six million, eight hundred thirty-two thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 52757 158271 263785 474813 791355 1318925 1424439 2374065 3956775 4273317 7122195 11870325 21366585 35610975 106832925