Search a number
-
+
106747245 = 32511379569
BaseRepresentation
bin1100101110011…
…01010101101101
321102212022200200
412113031111231
5204311402440
614331544113
72434223313
oct627152555
9242768620
10106747245
115528a870
122b8bb039
1319166967
141026a0b3
159588c30
hex65cd56d

106747245 has 48 divisors (see below), whose sum is σ = 202737600. Its totient is φ = 51528960.

The previous prime is 106747217. The next prime is 106747261. The reversal of 106747245 is 542747601.

It is not a de Polignac number, because 106747245 - 26 = 106747181 is a prime.

It is a super-2 number, since 2×1067472452 = 22789948630180050, which contains 22 as substring.

It is a congruent number.

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, 187321 + ... + 187889.

It is an arithmetic number, because the mean of its divisors is an integer number (4223700).

Almost surely, 2106747245 is an apocalyptic number.

106747245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106747245 is a deficient number, since it is larger than the sum of its proper divisors (95990355).

106747245 is a wasteful number, since it uses less digits than its factorization.

106747245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 106747245 is about 10331.8558352312. The cubic root of 106747245 is about 474.3718307630.

The spelling of 106747245 in words is "one hundred six million, seven hundred forty-seven thousand, two hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 379 495 569 1137 1707 1895 2845 3411 4169 5121 5685 6259 8535 12507 17055 18777 20845 25605 31295 37521 56331 62535 93885 187605 215651 281655 646953 1078255 1940859 2372161 3234765 7116483 9704295 11860805 21349449 35582415 106747245