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108052310016 = 2113673211
BaseRepresentation
bin110010010100001101…
…0110110100000000000
3101022220100111002000000
41210220122312200000
53232242342410031
6121345532000000
710543431324000
oct1445032664000
9338810432000
10108052310016
1141908791872
1218b36600000
13a25cb39521
145330664000
152c261193e6
hex19286b6800

108052310016 has 672 divisors, whose sum is σ = 379550808000. Its totient is φ = 30725775360.

The previous prime is 108052309999. The next prime is 108052310021. The reversal of 108052310016 is 610013250801.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 55 ways as a sum of consecutive naturals, for example, 512096151 + ... + 512096361.

It is an arithmetic number, because the mean of its divisors is an integer number (564807750).

Almost surely, 2108052310016 is an apocalyptic number.

108052310016 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 108052310016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189775404000).

108052310016 is an abundant number, since it is smaller than the sum of its proper divisors (271498497984).

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

108052310016 is an frugal number, since it uses more digits than its factorization.

108052310016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 108052310016 its reverse (610013250801), we get a palindrome (718065560817).

The spelling of 108052310016 in words is "one hundred eight billion, fifty-two million, three hundred ten thousand, sixteen".