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105410704432 = 24116713016871
BaseRepresentation
bin110001000101011110…
…1111011010000110000
3101002002020211121101011
41202022331323100300
53211340120020212
6120231445120304
710421114126665
oct1421275732060
9332066747334
10105410704432
114078265a460
12185199b9094
139c2b789cb7
14515d8b1a6c
152b1e26b4a7
hex188af7b430

105410704432 has 80 divisors (see below), whose sum is σ = 226332013824. Its totient is φ = 47155680000.

The previous prime is 105410704423. The next prime is 105410704453. The reversal of 105410704432 is 234407014501.

It is a super-2 number, since 2×1054107044322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105410704394 and 105410704403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15337957 + ... + 15344827.

Almost surely, 2105410704432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105410704432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113166006912).

105410704432 is an abundant number, since it is smaller than the sum of its proper divisors (120921309392).

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

105410704432 is a wasteful number, since it uses less digits than its factorization.

105410704432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8258 (or 8252 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

Adding to 105410704432 its reverse (234407014501), we get a palindrome (339817718933).

The spelling of 105410704432 in words is "one hundred five billion, four hundred ten million, seven hundred four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 67 88 134 176 268 536 737 1072 1301 1474 2602 2948 5204 5896 6871 10408 11792 13742 14311 20816 27484 28622 54968 57244 75581 87167 109936 114488 151162 174334 228976 302324 348668 460357 604648 697336 920714 958837 1209296 1394672 1841428 1917674 3682856 3835348 5063927 7365712 7670696 8939171 10127854 15341392 17878342 20255708 35756684 40511416 71513368 81022832 98330881 143026736 196661762 393323524 598924457 786647048 1197848914 1573294096 2395697828 4791395656 6588169027 9582791312 13176338054 26352676108 52705352216 105410704432