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10104557100 = 22352114371209
BaseRepresentation
bin10010110100100011…
…10100111000101100
3222002012111200111120
421122101310320230
5131143231311400
64350355420540
7505254214101
oct113221647054
928065450446
1010104557100
114315839340
121b5bbb4750
13c50568291
146bbdbcaa8
153e2162ca0
hex25a474e2c

10104557100 has 144 divisors (see below), whose sum is σ = 32635827840. Its totient is φ = 2392588800.

The previous prime is 10104557083. The next prime is 10104557101. The reversal of 10104557100 is 175540101.

It is not an unprimeable number, because it can be changed into a prime (10104557101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106296 + ... + 177504.

Almost surely, 210104557100 is an apocalyptic number.

10104557100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10104557100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16317913920).

10104557100 is an abundant number, since it is smaller than the sum of its proper divisors (22531270740).

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

10104557100 is a wasteful number, since it uses less digits than its factorization.

10104557100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71280 (or 71273 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 24.

The spelling of 10104557100 in words is "ten billion, one hundred four million, five hundred fifty-seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 43 44 50 55 60 66 75 86 100 110 129 132 150 165 172 215 220 258 275 300 330 430 473 516 550 645 660 825 860 946 1075 1100 1290 1419 1650 1892 2150 2365 2580 2838 3225 3300 4300 4730 5676 6450 7095 9460 11825 12900 14190 23650 28380 35475 47300 70950 71209 141900 142418 213627 284836 356045 427254 712090 783299 854508 1068135 1424180 1566598 1780225 2136270 2349897 3061987 3133196 3560450 3916495 4272540 4699794 5340675 6123974 7120900 7832990 9185961 9399588 10681350 11749485 12247948 15309935 15665980 18371922 19582475 21362700 23498970 30619870 33681857 36743844 39164950 45929805 46997940 58747425 61239740 67363714 76549675 78329900 91859610 101045571 117494850 134727428 153099350 168409285 183719220 202091142 229649025 234989700 306198700 336818570 404182284 459298050 505227855 673637140 842046425 918596100 1010455710 1684092850 2020911420 2526139275 3368185700 5052278550 10104557100