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105523513340 = 22577310325197
BaseRepresentation
bin110001001000110110…
…0010000011111111100
3101002101010002220002212
41202101230100133330
53212103004411330
6120250555035552
710423654030640
oct1422154203774
9332333086085
10105523513340
11408302aa463
121854b73bbb8
139c48c66a2b
145170878c20
152b29101295
hex1891b107fc

105523513340 has 48 divisors (see below), whose sum is σ = 256725723072. Its totient is φ = 35683877376.

The previous prime is 105523513327. The next prime is 105523513349. The reversal of 105523513340 is 43315325501.

It is a super-2 number, since 2×1055235133402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105523513297 and 105523513306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105523513349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5152379 + ... + 5172818.

It is an arithmetic number, because the mean of its divisors is an integer number (5348452564).

Almost surely, 2105523513340 is an apocalyptic number.

105523513340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105523513340 is an abundant number, since it is smaller than the sum of its proper divisors (151202209732).

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

105523513340 is a wasteful number, since it uses less digits than its factorization.

105523513340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10325286 (or 10325284 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

Adding to 105523513340 its reverse (43315325501), we get a palindrome (148838838841).

The spelling of 105523513340 in words is "one hundred five billion, five hundred twenty-three million, five hundred thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 140 146 292 365 511 730 1022 1460 2044 2555 5110 10220 10325197 20650394 41300788 51625985 72276379 103251970 144552758 206503940 289105516 361381895 722763790 753739381 1445527580 1507478762 3014957524 3768696905 5276175667 7537393810 10552351334 15074787620 21104702668 26380878335 52761756670 105523513340