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104822025 = 35272112593
BaseRepresentation
bin1100011111101…
…11010100001001
321022020111210020
412033313110021
5203313301100
614222411053
72411654400
oct617672411
9238214706
10104822025
1154195380
122b130a89
1318941589
14dcc8637
1593085a0
hex63f7509

104822025 has 72 divisors (see below), whose sum is σ = 220012704. Its totient is φ = 43545600.

The previous prime is 104822023. The next prime is 104822027. The reversal of 104822025 is 520228401.

It is an interprime number because it is at equal distance from previous prime (104822023) and next prime (104822027).

It is not a de Polignac number, because 104822025 - 21 = 104822023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 104821986 and 104822004.

It is not an unprimeable number, because it can be changed into a prime (104822023) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39129 + ... + 41721.

It is an arithmetic number, because the mean of its divisors is an integer number (3055732).

Almost surely, 2104822025 is an apocalyptic number.

104822025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104822025 is an abundant number, since it is smaller than the sum of its proper divisors (115190679).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104822025 is a wasteful number, since it uses less digits than its factorization.

104822025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 104822025 is about 10238.2627920952. The cubic root of 104822025 is about 471.5026975792.

The spelling of 104822025 in words is "one hundred four million, eight hundred twenty-two thousand, twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 49 55 75 77 105 147 165 175 231 245 275 385 525 539 735 825 1155 1225 1617 1925 2593 2695 3675 5775 7779 8085 12965 13475 18151 28523 38895 40425 54453 64825 85569 90755 127057 142615 194475 199661 272265 381171 427845 453775 598983 635285 713075 998305 1361325 1397627 1905855 2139225 2994915 3176425 4192881 4991525 6988135 9529275 14974575 20964405 34940675 104822025