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105507649856 = 2672317314867
BaseRepresentation
bin110001001000010111…
…1101111100101000000
3101002100000020221111102
41202100233233211000
53212034424243411
6120245231033532
710423402140500
oct1422057574500
9332300227442
10105507649856
1140822354a44
121854636b8a8
139c458a135b
14516c709a00
152b27a1ad3b
hex1890bef940

105507649856 has 168 divisors, whose sum is σ = 254866542336. Its totient is φ = 43156592640.

The previous prime is 105507649853. The next prime is 105507649859. The reversal of 105507649856 is 658946705501.

It is an interprime number because it is at equal distance from previous prime (105507649853) and next prime (105507649859).

It is a super-2 number, since 2×1055076498562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105507649853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7089335 + ... + 7104201.

It is an arithmetic number, because the mean of its divisors is an integer number (1517062752).

Almost surely, 2105507649856 is an apocalyptic number.

105507649856 is a gapful number since it is divisible by the number (16) 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 105507649856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127433271168).

105507649856 is an abundant number, since it is smaller than the sum of its proper divisors (149358892480).

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

105507649856 is a wasteful number, since it uses less digits than its factorization.

105507649856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14997 (or 14980 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 56.

The spelling of 105507649856 in words is "one hundred five billion, five hundred seven million, six hundred forty-nine thousand, eight hundred fifty-six".