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107442983560 = 235111499162901
BaseRepresentation
bin110010000010000011…
…0011101001010001000
3101021022212221002020111
41210010012131022020
53230020400433220
6121205244004104
710522352202013
oct1440406351210
9337285832214
10107442983560
1141625843890
12189a6530634
13a193826823
1452b377037a
152bdc8a815a
hex190419d288

107442983560 has 64 divisors (see below), whose sum is σ = 263901240000. Its totient is φ = 39043872000.

The previous prime is 107442983537. The next prime is 107442983563. The reversal of 107442983560 is 65389244701.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (107442983563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 578110 + ... + 741010.

It is an arithmetic number, because the mean of its divisors is an integer number (4123456875).

It is a 1-persistent number, because it is pandigital, but 2⋅107442983560 = 214885967120 is not.

Almost surely, 2107442983560 is an apocalyptic number.

107442983560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107442983560 is an abundant number, since it is smaller than the sum of its proper divisors (156458256440).

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

107442983560 is a wasteful number, since it uses less digits than its factorization.

107442983560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164422 (or 164418 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 107442983560 in words is "one hundred seven billion, four hundred forty-two million, nine hundred eighty-three thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1499 2998 5996 7495 11992 14990 16489 29980 32978 59960 65956 82445 131912 162901 164890 325802 329780 651604 659560 814505 1303208 1629010 1791911 3258020 3583822 6516040 7167644 8959555 14335288 17919110 35838220 71676440 244188599 488377198 976754396 1220942995 1953508792 2441885990 2686074589 4883771980 5372149178 9767543960 10744298356 13430372945 21488596712 26860745890 53721491780 107442983560