Search a number
-
+
1070355105 = 325176122937
BaseRepresentation
bin111111110011000…
…101001010100001
32202121001200011200
4333303011022201
54143002330410
6254113231413
735344603551
oct7763051241
92677050150
101070355105
114aa2076a6
1225a562569
131409a1521
14a2223161
1563e7c3c0
hex3fcc52a1

1070355105 has 48 divisors (see below), whose sum is σ = 1996707024. Its totient is φ = 528445440.

The previous prime is 1070355079. The next prime is 1070355109. The reversal of 1070355105 is 5015530701.

1070355105 is a `hidden beast` number, since 107 + 0 + 3 + 551 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 131606784 + 938748321 = 11472^2 + 30639^2 .

It is not a de Polignac number, because 1070355105 - 27 = 1070354977 is a prime.

It is a super-2 number, since 2×10703551052 = 2291320101599122050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1070355109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35197 + ... + 58133.

It is an arithmetic number, because the mean of its divisors is an integer number (41598063).

Almost surely, 21070355105 is an apocalyptic number.

1070355105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1070355105 is a deficient number, since it is larger than the sum of its proper divisors (926351919).

1070355105 is a wasteful number, since it uses less digits than its factorization.

1070355105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23026 (or 23023 counting only the distinct ones).

The product of its (nonzero) digits is 2625, while the sum is 27.

The square root of 1070355105 is about 32716.2819556257. The cubic root of 1070355105 is about 1022.9222571158.

Adding to 1070355105 its reverse (5015530701), we get a palindrome (6085885806).

The spelling of 1070355105 in words is "one billion, seventy million, three hundred fifty-five thousand, one hundred five".

Divisors: 1 3 5 9 15 17 45 51 61 85 153 183 255 305 549 765 915 1037 2745 3111 5185 9333 15555 22937 46665 68811 114685 206433 344055 389929 1032165 1169787 1399157 1949645 3509361 4197471 5848935 6995785 12592413 17546805 20987355 23785669 62962065 71357007 118928345 214071021 356785035 1070355105