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1106106100 = 2252111005551
BaseRepresentation
bin100000111101101…
…1101011011110100
32212002100000022121
41001323131123310
54231130343400
6301431405324
736260514061
oct10173353364
92762300277
101106106100
11518405980
1226a523844
1314820b068
14a6c8bc68
156719021a
hex41edd6f4

1106106100 has 36 divisors (see below), whose sum is σ = 2618457408. Its totient is φ = 402220000.

The previous prime is 1106106061. The next prime is 1106106103. The reversal of 1106106100 is 16016011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106106103) 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, 501676 + ... + 503875.

It is an arithmetic number, because the mean of its divisors is an integer number (72734928).

Almost surely, 21106106100 is an apocalyptic number.

1106106100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1106106100 is an abundant number, since it is smaller than the sum of its proper divisors (1512351308).

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

1106106100 is a wasteful number, since it uses less digits than its factorization.

1106106100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005576 (or 1005569 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 1106106100 is about 33258.1734315040. The cubic root of 1106106100 is about 1034.1866543704.

The spelling of 1106106100 in words is "one billion, one hundred six million, one hundred six thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1005551 2011102 4022204 5027755 10055510 11061061 20111020 22122122 25138775 44244244 50277550 55305305 100555100 110610610 221221220 276526525 553053050 1106106100