108138851743104 has 3840 divisors, whose sum is σ = 437811893164800. Its totient is φ = 26203721564160.

The previous prime is 108138851743081. The next prime is 108138851743141. The reversal of 108138851743104 is 401347158831801.

It is a happy number.

108138851743104 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 3 + 88 + 517 + 43 + 1 + 0 + 4 = 666.

It is a super-2 number, since 2×108138851743104² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 369074579182 + ... + 369074579474.

It is an arithmetic number, because the mean of its divisors is an integer number (114013513845).

Almost surely, 2^{108138851743104} is an apocalyptic number.

108138851743104 is a gapful number since it is divisible by the number (14) 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 108138851743104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218905946582400).

108138851743104 is an abundant number, since it is smaller than the sum of its proper divisors (329673041421696).

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

108138851743104 is a wasteful number, since it uses less digits than its factorization.

108138851743104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 108138851743104 in words is "one hundred eight trillion, one hundred thirty-eight billion, eight hundred fifty-one million, seven hundred forty-three thousand, one hundred four".