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106530606 = 233721319163
BaseRepresentation
bin1100101100110…
…00011100101110
321102110022112000
412112120130232
5204232434411
614323153130
72432331600
oct626303456
9242408460
10106530606
1155152026
122b8157a6
13190bc180
1410211170
159544956
hex659872e

106530606 has 192 divisors, whose sum is σ = 314092800. Its totient is φ = 26453952.

The previous prime is 106530581. The next prime is 106530607. The reversal of 106530606 is 606035601.

106530606 is a `hidden beast` number, since 1 + 0 + 6 + 53 + 0 + 606 = 666.

It is a super-2 number, since 2×1065306062 = 22697540029454472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 106530606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106530607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 653481 + ... + 653643.

It is an arithmetic number, because the mean of its divisors is an integer number (1635900).

Almost surely, 2106530606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106530606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157046400).

106530606 is an abundant number, since it is smaller than the sum of its proper divisors (207562194).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106530606 is a wasteful number, since it uses less digits than its factorization.

106530606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 106530606 is about 10321.3664792991. The cubic root of 106530606 is about 474.0507076020.

The spelling of 106530606 in words is "one hundred six million, five hundred thirty thousand, six hundred six".