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105404690055 = 35715147913879
BaseRepresentation
bin110001000101010011…
…0111110111010000111
3101002001211112001012110
41202022212332322013
53211332100040210
6120231112152103
710421012040240
oct1421246767207
9332054461173
10105404690055
114077a2217a5
1218517998633
139c2a4625b2
14515cb87cc7
152b1d97e420
hex188a9bee87

105404690055 has 64 divisors (see below), whose sum is σ = 194435481600. Its totient is φ = 47762524800.

The previous prime is 105404690051. The next prime is 105404690081. The reversal of 105404690055 is 550096404501.

It is not a de Polignac number, because 105404690055 - 22 = 105404690051 is a prime.

It is a super-2 number, since 2×1054046900552 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105404689995 and 105404690022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105404690051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7587606 + ... + 7601484.

It is an arithmetic number, because the mean of its divisors is an integer number (3038054400).

Almost surely, 2105404690055 is an apocalyptic number.

105404690055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105404690055 is a deficient number, since it is larger than the sum of its proper divisors (89030791545).

105404690055 is a wasteful number, since it uses less digits than its factorization.

105404690055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14524.

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 105404690055 in words is "one hundred five billion, four hundred four million, six hundred ninety thousand, fifty-five".

Divisors: 1 3 5 7 15 21 35 105 151 453 479 755 1057 1437 2265 2395 3171 3353 5285 7185 10059 13879 15855 16765 41637 50295 69395 72329 97153 208185 216987 291459 361645 485765 506303 1084935 1457295 1518909 2095729 2531515 6287187 6648041 7594545 10478645 14670103 19944123 31435935 33240205 44010309 46536287 73350515 99720615 139608861 220051545 232681435 698044305 1003854191 3011562573 5019270955 7026979337 15057812865 21080938011 35134896685 105404690055