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105424473345 = 3549129634831
BaseRepresentation
bin110001000101111001…
…0011100110100000001
3101002010012202010202220
41202023302130310001
53211402131121340
6120233100201253
710421342144412
oct1421362346401
9332105663686
10105424473345
114078a404224
1218522539229
139c3159b199
145161657809
152b2058aed0
hex188bc9cd01

105424473345 has 32 divisors (see below), whose sum is σ = 169114742784. Its totient is φ = 56081323200.

The previous prime is 105424473331. The next prime is 105424473409. The reversal of 105424473345 is 543374424501.

It is not a de Polignac number, because 105424473345 - 224 = 105407696129 is a prime.

It is a super-2 number, since 2×1054244733452 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105424473297 and 105424473306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21820080 + ... + 21824910.

It is an arithmetic number, because the mean of its divisors is an integer number (5284835712).

Almost surely, 2105424473345 is an apocalyptic number.

105424473345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105424473345 is a deficient number, since it is larger than the sum of its proper divisors (63690269439).

105424473345 is a wasteful number, since it uses less digits than its factorization.

105424473345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8293.

The product of its (nonzero) digits is 806400, while the sum is 42.

Adding to 105424473345 its reverse (543374424501), we get a palindrome (648798897846).

The spelling of 105424473345 in words is "one hundred five billion, four hundred twenty-four million, four hundred seventy-three thousand, three hundred forty-five".

Divisors: 1 3 5 15 491 1473 2455 2963 4831 7365 8889 14493 14815 24155 44445 72465 1454833 2372021 4364499 7116063 7274165 11860105 14314253 21822495 35580315 42942759 71571265 214713795 7028298223 21084894669 35141491115 105424473345