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105718020 = 22353674801
BaseRepresentation
bin1100100110100…
…10000100000100
321100221000212020
412103102010010
5204030434040
614253523140
72422405542
oct623220404
9240830766
10105718020
1154747571
122b4a34b0
1318b96355
141007cd92
159433cd0
hex64d2104

105718020 has 48 divisors (see below), whose sum is σ = 296878848. Its totient is φ = 28108800.

The previous prime is 105718001. The next prime is 105718031. The reversal of 105718020 is 20817501.

It is a super-2 number, since 2×1057180202 = 22352599505440800, which contains 22 as substring.

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, 19620 + ... + 24420.

It is an arithmetic number, because the mean of its divisors is an integer number (6184976).

Almost surely, 2105718020 is an apocalyptic number.

105718020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105718020 is an abundant number, since it is smaller than the sum of its proper divisors (191160828).

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

105718020 is a wasteful number, since it uses less digits than its factorization.

105718020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5180 (or 5178 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 105718020 is about 10281.9268622180. The cubic root of 105718020 is about 472.8423207298.

The spelling of 105718020 in words is "one hundred five million, seven hundred eighteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 367 734 1101 1468 1835 2202 3670 4404 4801 5505 7340 9602 11010 14403 19204 22020 24005 28806 48010 57612 72015 96020 144030 288060 1761967 3523934 5285901 7047868 8809835 10571802 17619670 21143604 26429505 35239340 52859010 105718020