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105434055 = 355107811
BaseRepresentation
bin1100100100011…
…00101111000111
321100101121100000
412102030233013
5203442342210
614243452343
72420113626
oct622145707
9240347300
10105434055
1154573191
122b3870b3
1318ac701c
14100076bd
1593c9ac0
hex648cbc7

105434055 has 48 divisors (see below), whose sum is σ = 191528064. Its totient is φ = 55637280.

The previous prime is 105434041. The next prime is 105434071. The reversal of 105434055 is 550434501.

It is not a de Polignac number, because 105434055 - 25 = 105434023 is a prime.

It is a super-2 number, since 2×1054340552 = 22232679907486050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129600 + ... + 130410.

It is an arithmetic number, because the mean of its divisors is an integer number (3990168).

Almost surely, 2105434055 is an apocalyptic number.

105434055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105434055 is a deficient number, since it is larger than the sum of its proper divisors (86094009).

105434055 is an equidigital number, since it uses as much as digits as its factorization.

105434055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 105434055 is about 10268.1086379138. The cubic root of 105434055 is about 472.4185800751.

Adding to 105434055 its reverse (550434501), we get a palindrome (655868556).

The spelling of 105434055 in words is "one hundred five million, four hundred thirty-four thousand, fifty-five".

Divisors: 1 3 5 9 15 27 45 81 107 135 243 321 405 535 811 963 1215 1605 2433 2889 4055 4815 7299 8667 12165 14445 21897 26001 36495 43335 65691 86777 109485 130005 197073 260331 328455 433885 780993 985365 1301655 2342979 3904965 7028937 11714895 21086811 35144685 105434055