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106060500500 = 22531131877177
BaseRepresentation
bin110001011000110110…
…0101100111000010100
3101010202112112200000012
41202301230230320110
53214202442004000
6120420140335352
710443164244113
oct1426154547024
9333675480005
10106060500500
1140a864298a9
121867b544558
13a00329c206
1451c1cdbc7a
152b5b323735
hex18b1b2ce14

106060500500 has 48 divisors (see below), whose sum is σ = 233686134864. Its totient is φ = 42048742400.

The previous prime is 106060500467. The next prime is 106060500503. The reversal of 106060500500 is 5005060601.

It can be written as a sum of positive squares in 8 ways, for example, as 66289771024 + 39770729476 = 257468^2 + 199426^2 .

It is a super-2 number, since 2×1060605005002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106060500503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 882089 + ... + 995088.

It is an arithmetic number, because the mean of its divisors is an integer number (4868461143).

Almost surely, 2106060500500 is an apocalyptic number.

106060500500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106060500500 is an abundant number, since it is smaller than the sum of its proper divisors (127625634364).

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

106060500500 is a wasteful number, since it uses less digits than its factorization.

106060500500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877309 (or 1877297 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The spelling of 106060500500 in words is "one hundred six billion, sixty million, five hundred thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 125 226 250 452 500 565 1130 2260 2825 5650 11300 14125 28250 56500 1877177 3754354 7508708 9385885 18771770 37543540 46929425 93858850 187717700 212121001 234647125 424242002 469294250 848484004 938588500 1060605005 2121210010 4242420020 5303025025 10606050050 21212100100 26515125125 53030250250 106060500500