108098339076000 has 5376 divisors, whose sum is σ = 536372837425152. Its totient is φ = 20746616832000.

The previous prime is 108098339075963. The next prime is 108098339076061. The reversal of 108098339076000 is 670933890801.

108098339076000 is a `hidden beast` number, since 108 + 0 + 9 + 83 + 390 + 76 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 139842611614 + ... + 139842612386.

It is an arithmetic number, because the mean of its divisors is an integer number (99771733152).

Almost surely, 2^{108098339076000} is an apocalyptic number.

108098339076000 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 108098339076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268186418712576).

108098339076000 is an abundant number, since it is smaller than the sum of its proper divisors (428274498349152).

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

108098339076000 is a wasteful number, since it uses less digits than its factorization.

108098339076000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 108098339076000 in words is "one hundred eight trillion, ninety-eight billion, three hundred thirty-nine million, seventy-six thousand".