108101081088 has 1728 divisors, whose sum is σ = 456761410560. Its totient is φ = 25082265600.

The previous prime is 108101081063. The next prime is 108101081107. The reversal of 108101081088 is 880180101801.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3487131633 + ... + 3487131663.

It is an arithmetic number, because the mean of its divisors is an integer number (264329520).

Almost surely, 2^108101081088 is an apocalyptic number.

108101081088 is a gapful number since it is divisible by the number (18) 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 108101081088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228380705280).

108101081088 is an abundant number, since it is smaller than the sum of its proper divisors (348660329472).

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

108101081088 is a wasteful number, since it uses less digits than its factorization.

108101081088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 36.

Adding to 108101081088 its reverse (880180101801), we get a palindrome (988281182889).

The spelling of 108101081088 in words is "one hundred eight billion, one hundred one million, eighty-one thousand, eighty-eight".