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1070032105 = 51723253449
BaseRepresentation
bin111111110001110…
…110010011101001
32202120110021002201
4333301312103221
54142412011410
6254102300201
735342060062
oct7761662351
92676407081
101070032105
114aa006a5a
1225a427661
131408ba4bc
14a217b569
1563e1683a
hex3fc764e9

1070032105 has 48 divisors (see below), whose sum is σ = 1451293200. Its totient is φ = 754417664.

The previous prime is 1070032097. The next prime is 1070032109. The reversal of 1070032105 is 5012300701.

It can be written as a sum of positive squares in 8 ways, for example, as 64064016 + 1005968089 = 8004^2 + 31717^2 .

It is not a de Polignac number, because 1070032105 - 23 = 1070032097 is a prime.

It is a super-2 number, since 2×10700321052 = 2289937411461462050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1070032109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2382921 + ... + 2383369.

It is an arithmetic number, because the mean of its divisors is an integer number (30235275).

Almost surely, 21070032105 is an apocalyptic number.

It is an amenable number.

1070032105 is a deficient number, since it is larger than the sum of its proper divisors (381261095).

1070032105 is a wasteful number, since it uses less digits than its factorization.

1070032105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 1070032105 is about 32711.3452031554. The cubic root of 1070032105 is about 1022.8193513517.

Adding to 1070032105 its reverse (5012300701), we get a palindrome (6082332806).

The spelling of 1070032105 in words is "one billion, seventy million, thirty-two thousand, one hundred five".

Divisors: 1 5 17 23 53 85 115 265 391 449 529 901 1219 1955 2245 2645 4505 6095 7633 8993 10327 20723 23797 28037 38165 44965 51635 103615 118985 140185 175559 237521 404549 476629 547331 877795 1187605 2022745 2383145 2736655 4037857 9304627 12588613 20189285 46523135 62943065 214006421 1070032105