Search a number
-
+
106445601 = 3219760037
BaseRepresentation
bin1100101100000…
…11101100100001
321102021222220200
412112003230201
5204222224401
614321255413
72431526013
oct626035441
9242258820
10106445601
11550a4179
122b794569
131908c582
14101cc1b3
159529686
hex6583b21

106445601 has 12 divisors (see below), whose sum is σ = 154537812. Its totient is φ = 70602336.

The previous prime is 106445579. The next prime is 106445609. The reversal of 106445601 is 106544601.

106445601 is a `hidden beast` number, since 10 + 6 + 4 + 45 + 601 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97535376 + 8910225 = 9876^2 + 2985^2 .

It is a de Polignac number, because none of the positive numbers 2k-106445601 is a prime.

It is a super-2 number, since 2×1064456012 = 22661331944502402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106445609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28246 + ... + 31791.

It is an arithmetic number, because the mean of its divisors is an integer number (12878151).

Almost surely, 2106445601 is an apocalyptic number.

It is an amenable number.

106445601 is a deficient number, since it is larger than the sum of its proper divisors (48092211).

106445601 is a wasteful number, since it uses less digits than its factorization.

106445601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60240 (or 60237 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106445601 is about 10317.2477434634. The cubic root of 106445601 is about 473.9245860901.

It can be divided in two parts, 1064 and 45601, that added together give a triangular number (46665 = T305).

The spelling of 106445601 in words is "one hundred six million, four hundred forty-five thousand, six hundred one".

Divisors: 1 3 9 197 591 1773 60037 180111 540333 11827289 35481867 106445601