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105914550460 = 22512974083059
BaseRepresentation
bin110001010100011111…
…1111100100010111100
3101010101100220122012011
41202220333330202330
53213403111103320
6120353444221004
710436442552565
oct1425077744274
9333340818164
10105914550460
1140a11003434
121863a69a764
139cabc8a844
1451aa78916c
152b4d5e405a
hex18a8ffc8bc

105914550460 has 24 divisors (see below), whose sum is σ = 222592098960. Its totient is φ = 42333145344.

The previous prime is 105914550439. The next prime is 105914550463. The reversal of 105914550460 is 64055419501.

It is a happy number.

It is a super-2 number, since 2×1059145504602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105914550463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2015590 + ... + 2067469.

It is an arithmetic number, because the mean of its divisors is an integer number (9274670790).

Almost surely, 2105914550460 is an apocalyptic number.

105914550460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105914550460 is an abundant number, since it is smaller than the sum of its proper divisors (116677548500).

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

105914550460 is a wasteful number, since it uses less digits than its factorization.

105914550460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4084365 (or 4084363 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 40.

Adding to 105914550460 its reverse (64055419501), we get a palindrome (169969969961).

The spelling of 105914550460 in words is "one hundred five billion, nine hundred fourteen million, five hundred fifty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 1297 2594 5188 6485 12970 25940 4083059 8166118 16332236 20415295 40830590 81661180 5295727523 10591455046 21182910092 26478637615 52957275230 105914550460