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106055561060 = 22510152502753
BaseRepresentation
bin110001011000101100…
…1110110111101100100
3101010202012020201100222
41202301121312331210
53214200210423220
6120415442423512
710443104252321
oct1426131667544
9333665221328
10106055561060
1140a83665819
1218679961b98
13a00225cb77
1451c13b3b48
152b5ab99e25
hex18b1676f64

106055561060 has 24 divisors (see below), whose sum is σ = 224921798136. Its totient is φ = 42002201600.

The previous prime is 106055561057. The next prime is 106055561083. The reversal of 106055561060 is 60165550601.

It can be written as a sum of positive squares in 4 ways, for example, as 17165716324 + 88889844736 = 131018^2 + 298144^2 .

It is a super-2 number, since 2×1060555610602 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106055561060.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26249357 + ... + 26253396.

It is an arithmetic number, because the mean of its divisors is an integer number (9371741589).

Almost surely, 2106055561060 is an apocalyptic number.

106055561060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106055561060 is an abundant number, since it is smaller than the sum of its proper divisors (118866237076).

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

106055561060 is a wasteful number, since it uses less digits than its factorization.

106055561060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52502863 (or 52502861 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 106055561060 in words is "one hundred six billion, fifty-five million, five hundred sixty-one thousand, sixty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 52502753 105005506 210011012 262513765 525027530 1050055060 5302778053 10605556106 21211112212 26513890265 53027780530 106055561060