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103822425 = 3352724373
BaseRepresentation
bin1100011000000…
…11010001011001
321020100201121000
412030003101121
5203034304200
614145135213
72400322200
oct614032131
9236321530
10103822425
1153672363
122a92a509
13186815b5
14db08237
1591ac300
hex6303459

103822425 has 144 divisors (see below), whose sum is σ = 230134080. Its totient is φ = 45722880.

The previous prime is 103822423. The next prime is 103822457. The reversal of 103822425 is 524228301.

It is not a de Polignac number, because 103822425 - 21 = 103822423 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (103822423) 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 143 ways as a sum of consecutive naturals, for example, 1422189 + ... + 1422261.

Almost surely, 2103822425 is an apocalyptic number.

103822425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103822425 is an abundant number, since it is smaller than the sum of its proper divisors (126311655).

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

103822425 is a wasteful number, since it uses less digits than its factorization.

103822425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 103822425 is about 10189.3289769248. The cubic root of 103822425 is about 469.9991323358. Note that the first 3 decimals are identical.

The spelling of 103822425 in words is "one hundred three million, eight hundred twenty-two thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 43 45 49 63 73 75 105 129 135 147 175 189 215 219 225 245 301 315 365 387 441 511 525 645 657 675 735 903 945 1075 1095 1161 1225 1323 1505 1533 1575 1825 1935 1971 2107 2205 2555 2709 3139 3225 3285 3577 3675 4515 4599 4725 5475 5805 6321 6615 7525 7665 8127 9417 9675 9855 10535 10731 11025 12775 13545 13797 15695 16425 17885 18963 21973 22575 22995 28251 29025 31605 32193 33075 38325 40635 47085 49275 52675 53655 56889 65919 67725 68985 78475 84753 89425 94815 96579 109865 114975 141255 153811 158025 160965 197757 203175 235425 268275 284445 329595 344925 423765 461433 474075 482895 549325 593271 706275 769055 804825 988785 1384299 1422225 1647975 2118825 2307165 2414475 2966355 3845275 4152897 4943925 6921495 11535825 14831775 20764485 34607475 103822425