108892101120 has 480 divisors, whose sum is σ = 393103839744. Its totient is φ = 25676513280.

The previous prime is 108892101107. The next prime is 108892101137. The reversal of 108892101120 is 21101298801.

108892101120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34381777 + ... + 34384943.

Almost surely, 2^108892101120 is an apocalyptic number.

108892101120 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 108892101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196551919872).

108892101120 is an abundant number, since it is smaller than the sum of its proper divisors (284211738624).

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

108892101120 is a wasteful number, since it uses less digits than its factorization.

108892101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3252 (or 3225 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 33.

Adding to 108892101120 its reverse (21101298801), we get a palindrome (129993399921).

It can be divided in two parts, 108892 and 101120, that added together give a palindrome (210012).

The spelling of 108892101120 in words is "one hundred eight billion, eight hundred ninety-two million, one hundred one thousand, one hundred twenty".