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105073425 = 32524611013
BaseRepresentation
bin1100100001101…
…00101100010001
321022201021122100
412100310230101
5203344322200
614232031013
72414052342
oct620645421
9238637570
10105073425
1154347246
122b232469
13189cbb32
14dd520c9
159357d00
hex6434b11

105073425 has 36 divisors (see below), whose sum is σ = 188792604. Its totient is φ = 55862400.

The previous prime is 105073421. The next prime is 105073457. The reversal of 105073425 is 524370501.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 33907329 + 71166096 = 5823^2 + 8436^2 .

It is not a de Polignac number, because 105073425 - 22 = 105073421 is a prime.

It is a super-2 number, since 2×1050734252 = 22080849282461250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105073421) 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 35 ways as a sum of consecutive naturals, for example, 103219 + ... + 104231.

It is an arithmetic number, because the mean of its divisors is an integer number (5244239).

Almost surely, 2105073425 is an apocalyptic number.

105073425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105073425 is a deficient number, since it is larger than the sum of its proper divisors (83719179).

105073425 is a wasteful number, since it uses less digits than its factorization.

105073425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 105073425 is about 10250.5329129758. The cubic root of 105073425 is about 471.8793396089.

The spelling of 105073425 in words is "one hundred five million, seventy-three thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 461 1013 1383 2305 3039 4149 5065 6915 9117 11525 15195 20745 25325 34575 45585 75975 103725 227925 466993 1400979 2334965 4202937 7004895 11674825 21014685 35024475 105073425