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106000055104 = 262326594751
BaseRepresentation
bin110001010111000011…
…0000111101101000000
3101010121022210201111211
41202232012013231000
53214042003230404
6120410141015504
710441531413346
oct1425606075500
9333538721454
10106000055104
1140a552a4329
1218663254594
139cc38c75c8
1451b7c85996
152b55d83b04
hex18ae187b40

106000055104 has 84 divisors (see below), whose sum is σ = 220266889920. Its totient is φ = 50608096000.

The previous prime is 106000055089. The next prime is 106000055107. The reversal of 106000055104 is 401550000601.

It is a super-2 number, since 2×1060000551042 (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 (106000055107) 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, 22308729 + ... + 22313479.

It is an arithmetic number, because the mean of its divisors is an integer number (2622224880).

Almost surely, 2106000055104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106000055104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110133444960).

106000055104 is an abundant number, since it is smaller than the sum of its proper divisors (114266834816).

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

106000055104 is an equidigital number, since it uses as much as digits as its factorization.

106000055104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5468 (or 5435 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 106000055104 its reverse (401550000601), we get a palindrome (507550055705).

The spelling of 106000055104 in words is "one hundred six billion, fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 529 659 736 1058 1318 1472 2116 2636 4232 4751 5272 8464 9502 10544 15157 16928 19004 21088 30314 33856 38008 42176 60628 76016 109273 121256 152032 218546 242512 304064 348611 437092 485024 697222 874184 970048 1394444 1748368 2513279 2788888 3130909 3496736 5026558 5577776 6261818 6993472 10053116 11155552 12523636 20106232 22311104 25047272 40212464 50094544 72010907 80424928 100189088 144021814 160849856 200378176 288043628 576087256 1152174512 1656250861 2304349024 3312501722 4608698048 6625003444 13250006888 26500013776 53000027552 106000055104