10109685888 has 96 divisors (see below), whose sum is σ = 29111322240. Its totient is φ = 3367620096.

The previous prime is 10109685881. The next prime is 10109685913. The reversal of 10109685888 is 88858690101.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (10109685881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3342745 + ... + 3345767.

It is an arithmetic number, because the mean of its divisors is an integer number (303242940).

Almost surely, 2^10109685888 is an apocalyptic number.

10109685888 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 10109685888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14555661120).

10109685888 is an abundant number, since it is smaller than the sum of its proper divisors (19001636352).

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

10109685888 is a wasteful number, since it uses less digits than its factorization.

10109685888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5946 (or 5931 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 54.

The spelling of 10109685888 in words is "ten billion, one hundred nine million, six hundred eighty-five thousand, eight hundred eighty-eight".