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105054573280 = 2555312388511
BaseRepresentation
bin110000111010110111…
…1011001001011100000
3101001011102201021021111
41201311233121023200
53210122432321110
6120132244033104
710406231065516
oct1416557311340
9331142637244
10105054573280
114060a627898
121843a692794
139ba2a681c7
14512848a4b6
152aecd70e8a
hex1875bd92e0

105054573280 has 48 divisors (see below), whose sum is σ = 252874306944. Its totient is φ = 41228961280.

The previous prime is 105054573271. The next prime is 105054573389. The reversal of 105054573280 is 82375450501.

It is a super-2 number, since 2×1050545732802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 7 ways as a sum of consecutive naturals, for example, 6185776 + ... + 6202735.

It is an arithmetic number, because the mean of its divisors is an integer number (5268214728).

Almost surely, 2105054573280 is an apocalyptic number.

105054573280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105054573280 is an abundant number, since it is smaller than the sum of its proper divisors (147819733664).

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

105054573280 is a wasteful number, since it uses less digits than its factorization.

105054573280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12388579 (or 12388571 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 40.

The spelling of 105054573280 in words is "one hundred five billion, fifty-four million, five hundred seventy-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1060 1696 2120 4240 8480 12388511 24777022 49554044 61942555 99108088 123885110 198216176 247770220 396432352 495540440 656591083 991080880 1313182166 1982161760 2626364332 3282955415 5252728664 6565910830 10505457328 13131821660 21010914656 26263643320 52527286640 105054573280