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105200341104 = 24337354110861
BaseRepresentation
bin110000111111001101…
…1011101000001110000
3101001112121000001010210
41201332123131001300
53210422241403404
6120154532224120
710412651100555
oct1417633350160
9331477001123
10105200341104
1140684939371
121847b46b040
139bc7014961
14513d992a2c
152b0aa66689
hex187e6dd070

105200341104 has 80 divisors (see below), whose sum is σ = 273024972704. Its totient is φ = 34904908800.

The previous prime is 105200341067. The next prime is 105200341163. The reversal of 105200341104 is 401143002501.

It is a super-2 number, since 2×1052003411042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 9680634 + ... + 9691494.

Almost surely, 2105200341104 is an apocalyptic number.

It is an amenable number.

105200341104 is an abundant number, since it is smaller than the sum of its proper divisors (167824631600).

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

105200341104 is a wasteful number, since it uses less digits than its factorization.

105200341104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11786 (or 11780 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 105200341104 its reverse (401143002501), we get a palindrome (506343343605).

The spelling of 105200341104 in words is "one hundred five billion, two hundred million, three hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 373 541 746 1082 1119 1492 1623 2164 2238 2984 3246 4328 4476 5968 6492 8656 8952 10861 12984 17904 21722 25968 32583 43444 65166 86888 130332 173776 201793 260664 403586 521328 605379 807172 1210758 1614344 2421516 3228688 4051153 4843032 5875801 8102306 9686064 11751602 12153459 16204612 17627403 23503204 24306918 32409224 35254806 47006408 48613836 64818448 70509612 94012816 97227672 141019224 194455344 282038448 2191673773 4383347546 6575021319 8766695092 13150042638 17533390184 26300085276 35066780368 52600170552 105200341104