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6105439100 = 2252197145259
BaseRepresentation
bin1011010111110100…
…11001101101111100
3120202111110102221002
411223322121231330
5100000443022400
62445500425432
7304204242665
oct55372315574
916674412832
106105439100
1126533a7842
121224848278
13763b95177
1441cc1836c
1525b013ed5
hex16be99b7c

6105439100 has 72 divisors (see below), whose sum is σ = 14142844800. Its totient is φ = 2281003200.

The previous prime is 6105439097. The next prime is 6105439133. The reversal of 6105439100 is 19345016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112271 + ... + 157529.

It is an arithmetic number, because the mean of its divisors is an integer number (196428400).

Almost surely, 26105439100 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 6105439100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7071422400).

6105439100 is an abundant number, since it is smaller than the sum of its proper divisors (8037405700).

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

6105439100 is a wasteful number, since it uses less digits than its factorization.

6105439100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45363 (or 45356 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 6105439100 is about 78137.3092702839. The cubic root of 6105439100 is about 1827.7030414741.

The spelling of 6105439100 in words is "six billion, one hundred five million, four hundred thirty-nine thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 71 76 95 100 142 190 284 355 380 475 710 950 1349 1420 1775 1900 2698 3550 5396 6745 7100 13490 26980 33725 45259 67450 90518 134900 181036 226295 452590 859921 905180 1131475 1719842 2262950 3213389 3439684 4299605 4525900 6426778 8599210 12853556 16066945 17198420 21498025 32133890 42996050 61054391 64267780 80334725 85992100 122108782 160669450 244217564 305271955 321338900 610543910 1221087820 1526359775 3052719550 6105439100