10109741328 has 160 divisors (see below), whose sum is σ = 30175846400. Its totient is φ = 3237148800.

The previous prime is 10109741269. The next prime is 10109741351. The reversal of 10109741328 is 82314790101.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 10109741292 and 10109741301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1858773 + ... + 1864203.

It is an arithmetic number, because the mean of its divisors is an integer number (188599040).

Almost surely, 2^10109741328 is an apocalyptic number.

10109741328 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 10109741328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15087923200).

10109741328 is an abundant number, since it is smaller than the sum of its proper divisors (20066105072).

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

10109741328 is a wasteful number, since it uses less digits than its factorization.

10109741328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5618 (or 5606 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10109741328 in words is "ten billion, one hundred nine million, seven hundred forty-one thousand, three hundred twenty-eight".