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105344251160 = 23510325568993
BaseRepresentation
bin110001000011100000…
…0011011010100011000
3101001220121210102121212
41202013000123110120
53211221112014120
6120221112522252
710416346234451
oct1420700332430
9331817712555
10105344251160
11407490a10a5
12184bb6b0388
139c1aa90935
145154b34128
152b184e16c5
hex188701b518

105344251160 has 32 divisors (see below), whose sum is σ = 239325783840. Its totient is φ = 41728594944.

The previous prime is 105344251147. The next prime is 105344251163. The reversal of 105344251160 is 61152443501.

It is a super-2 number, since 2×1053442511602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105344251163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12780377 + ... + 12788616.

It is an arithmetic number, because the mean of its divisors is an integer number (7478930745).

Almost surely, 2105344251160 is an apocalyptic number.

105344251160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105344251160 is an abundant number, since it is smaller than the sum of its proper divisors (133981532680).

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

105344251160 is a wasteful number, since it uses less digits than its factorization.

105344251160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25569107 (or 25569103 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 105344251160 its reverse (61152443501), we get a palindrome (166496694661).

The spelling of 105344251160 in words is "one hundred five billion, three hundred forty-four million, two hundred fifty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 103 206 412 515 824 1030 2060 4120 25568993 51137986 102275972 127844965 204551944 255689930 511379860 1022759720 2633606279 5267212558 10534425116 13168031395 21068850232 26336062790 52672125580 105344251160