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106530641 = 7231315051
BaseRepresentation
bin1100101100110…
…00011101010001
321102110022120022
412112120131101
5204232440031
614323153225
72432331650
oct626303521
9242408508
10106530641
1155152058
122b815815
13190bc1a9
1410211197
15954497b
hex6598751

106530641 has 16 divisors (see below), whose sum is σ = 128037888. Its totient is φ = 86658000.

The previous prime is 106530617. The next prime is 106530643. The reversal of 106530641 is 146035601.

It is a cyclic number.

It is not a de Polignac number, because 106530641 - 210 = 106529617 is a prime.

It is a super-2 number, since 2×1065306412 = 22697554943741762, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106530641.

It is not an unprimeable number, because it can be changed into a prime (106530643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18566 + ... + 23616.

It is an arithmetic number, because the mean of its divisors is an integer number (8002368).

Almost surely, 2106530641 is an apocalyptic number.

It is an amenable number.

106530641 is a deficient number, since it is larger than the sum of its proper divisors (21507247).

106530641 is a wasteful number, since it uses less digits than its factorization.

106530641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5212.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 106530641 is about 10321.3681748109. The cubic root of 106530641 is about 474.0507595175.

The spelling of 106530641 in words is "one hundred six million, five hundred thirty thousand, six hundred forty-one".

Divisors: 1 7 23 131 161 917 3013 5051 21091 35357 116173 661681 813211 4631767 15218663 106530641