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105015000500 = 2253523401587
BaseRepresentation
bin110000111001101100…
…0011011110110110100
3101001001200020202121222
41201303120123312310
53210032320004000
6120124311525512
710405240530134
oct1416330336664
9331050222558
10105015000500
114059a259213
1218429389898
139b977c0c67
145123108ac4
152ae9655a85
hex187361bdb4

105015000500 has 48 divisors (see below), whose sum is σ = 229791866304. Its totient is φ = 41925578400.

The previous prime is 105015000451. The next prime is 105015000527. The reversal of 105015000500 is 5000510501.

It is a super-2 number, since 2×1050150005002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 60707 + ... + 462293.

It is an arithmetic number, because the mean of its divisors is an integer number (4787330548).

Almost surely, 2105015000500 is an apocalyptic number.

105015000500 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 105015000500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114895933152).

105015000500 is an abundant number, since it is smaller than the sum of its proper divisors (124776865804).

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

105015000500 is a wasteful number, since it uses less digits than its factorization.

105015000500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402129 (or 402117 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 17.

The spelling of 105015000500 in words is "one hundred five billion, fifteen million, five hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 523 1046 2092 2615 5230 10460 13075 26150 52300 65375 130750 261500 401587 803174 1606348 2007935 4015870 8031740 10039675 20079350 40158700 50198375 100396750 200793500 210030001 420060002 840120004 1050150005 2100300010 4200600020 5250750025 10501500050 21003000100 26253750125 52507500250 105015000500