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105410704434 = 23747317139
BaseRepresentation
bin110001000101011110…
…1111011010000110010
3101002002020211121101020
41202022331323100302
53211340120020214
6120231445120310
710421114130000
oct1421275732062
9332066747336
10105410704434
114078265a462
12185199b9096
139c2b789cb9
14515d8b1a70
152b1e26b4a9
hex188af7b432

105410704434 has 40 divisors (see below), whose sum is σ = 245943709680. Its totient is φ = 30117340008.

The previous prime is 105410704423. The next prime is 105410704453. The reversal of 105410704434 is 434407014501.

It is a super-2 number, since 2×1054107044342 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105410704395 and 105410704404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3644164 + ... + 3672975.

It is an arithmetic number, because the mean of its divisors is an integer number (6148592742).

Almost surely, 2105410704434 is an apocalyptic number.

105410704434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105410704434 is an abundant number, since it is smaller than the sum of its proper divisors (140533005246).

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

105410704434 is an frugal number, since it uses more digits than its factorization.

105410704434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7317172 (or 7317151 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

Adding to 105410704434 its reverse (434407014501), we get a palindrome (539817718935).

The spelling of 105410704434 in words is "one hundred five billion, four hundred ten million, seven hundred four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 686 1029 2058 2401 4802 7203 14406 7317139 14634278 21951417 43902834 51219973 102439946 153659919 307319838 358539811 717079622 1075619433 2151238866 2509778677 5019557354 7529336031 15058672062 17568450739 35136901478 52705352217 105410704434