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1025052105 = 35711280681
BaseRepresentation
bin111101000110010…
…000110111001001
32122102211001010210
4331012100313021
54044403131410
6245414231333
734254541050
oct7506206711
92572731123
101025052105
11486684900
12247355549
1313449c00c
149a1cd397
155eece220
hex3d190dc9

1025052105 has 48 divisors (see below), whose sum is σ = 2060295552. Its totient is φ = 425990400.

The previous prime is 1025052089. The next prime is 1025052163. The reversal of 1025052105 is 5012505201.

1025052105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1025052105 - 24 = 1025052089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27636 + ... + 53045.

It is an arithmetic number, because the mean of its divisors is an integer number (42922824).

Almost surely, 21025052105 is an apocalyptic number.

1025052105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1025052105 is an abundant number, since it is smaller than the sum of its proper divisors (1035243447).

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

1025052105 is a wasteful number, since it uses less digits than its factorization.

1025052105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80718 (or 80707 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 1025052105 is about 32016.4349202093. The cubic root of 1025052105 is about 1008.2819220803.

Adding to 1025052105 its reverse (5012505201), we get a palindrome (6037557306).

The spelling of 1025052105 in words is "one billion, twenty-five million, fifty-two thousand, one hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 121 165 231 363 385 605 847 1155 1815 2541 4235 12705 80681 242043 403405 564767 887491 1210215 1694301 2662473 2823835 4437455 6212437 8471505 9762401 13312365 18637311 29287203 31062185 48812005 68336807 93186555 146436015 205010421 341684035 1025052105