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108360000000 = 293257743
BaseRepresentation
bin110010011101011000…
…0100110001000000000
3101100200210110100022100
41210322300212020000
53233410130000000
6121440242510400
710554155542230
oct1447260461000
9340623410270
10108360000000
1141a5643890a
1219001665400
13a2ab7ca5c5
14535d479cc0
152c43146a00
hex193ac26200

108360000000 has 960 divisors, whose sum is σ = 457151954688. Its totient is φ = 24192000000.

The previous prime is 108359999983. The next prime is 108360000019. The reversal of 108360000000 is 63801.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2519999979 + ... + 2520000021.

Almost surely, 2108360000000 is an apocalyptic number.

108360000000 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 108360000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228575977344).

108360000000 is an abundant number, since it is smaller than the sum of its proper divisors (348791954688).

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

108360000000 is an frugal number, since it uses more digits than its factorization.

108360000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 108360000000 its reverse (63801), we get a palindrome (108360063801).

The spelling of 108360000000 in words is "one hundred eight billion, three hundred sixty million", and thus it is an aban number.