109881645120 has 784 divisors, whose sum is σ = 444950331840. Its totient is φ = 25610784768.

The previous prime is 109881645103. The next prime is 109881645131. The reversal of 109881645120 is 21546188901.

It is a happy number.

109881645120 is a `hidden beast` number, since 10 + 98 + 81 + 6 + 451 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 57619207 + ... + 57621113.

Almost surely, 2^109881645120 is an apocalyptic number.

109881645120 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 109881645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222475165920).

109881645120 is an abundant number, since it is smaller than the sum of its proper divisors (335068686720).

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

109881645120 is a wasteful number, since it uses less digits than its factorization.

109881645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 109881645120 in words is "one hundred nine billion, eight hundred eighty-one million, six hundred forty-five thousand, one hundred twenty".