109883870640 has 240 divisors, whose sum is σ = 372215120160. Its totient is φ = 29050306560.

The previous prime is 109883870563. The next prime is 109883870641. The reversal of 109883870640 is 46078388901.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (109883870641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45994566 + ... + 45996954.

It is an arithmetic number, because the mean of its divisors is an integer number (1550896334).

Almost surely, 2^109883870640 is an apocalyptic number.

109883870640 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 109883870640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186107560080).

109883870640 is an abundant number, since it is smaller than the sum of its proper divisors (262331249520).

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

109883870640 is a wasteful number, since it uses less digits than its factorization.

109883870640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 2923 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 109883870640 in words is "one hundred nine billion, eight hundred eighty-three million, eight hundred seventy thousand, six hundred forty".