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106601445 = 3255574253
BaseRepresentation
bin1100101101010…
…01101111100101
321102120220200200
412112221233211
5204242221240
614324501113
72433045246
oct626515745
9242526620
10106601445
11551a0275
122b84a799
13191154a2
141022cccd
15955a930
hex65a9be5

106601445 has 24 divisors (see below), whose sum is σ = 185151096. Its totient is φ = 56738688.

The previous prime is 106601437. The next prime is 106601449. The reversal of 106601445 is 544106601.

106601445 is a `hidden beast` number, since 10 + 6 + 601 + 4 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2377764 + 104223681 = 1542^2 + 10209^2 .

It is not a de Polignac number, because 106601445 - 23 = 106601437 is a prime.

It is a super-2 number, since 2×1066014452 = 22727736152176050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106601449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22939 + ... + 27191.

It is an arithmetic number, because the mean of its divisors is an integer number (7714629).

Almost surely, 2106601445 is an apocalyptic number.

106601445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106601445 is a deficient number, since it is larger than the sum of its proper divisors (78549651).

106601445 is a wasteful number, since it uses less digits than its factorization.

106601445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4821 (or 4818 counting only the distinct ones).

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

The square root of 106601445 is about 10324.7975767082. The cubic root of 106601445 is about 474.1557598451.

The spelling of 106601445 in words is "one hundred six million, six hundred one thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 45 557 1671 2785 4253 5013 8355 12759 21265 25065 38277 63795 191385 2368921 7106763 11844605 21320289 35533815 106601445