10018343104 has 336 divisors, whose sum is σ = 26852636160. Its totient is φ = 3619123200.

The previous prime is 10018343099. The next prime is 10018343119. The reversal of 10018343104 is 40134381001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73126524 + ... + 73126660.

It is an arithmetic number, because the mean of its divisors is an integer number (79918560).

Almost surely, 2^10018343104 is an apocalyptic number.

10018343104 is a gapful number since it is divisible by the number (14) 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 10018343104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13426318080).

10018343104 is an abundant number, since it is smaller than the sum of its proper divisors (16834293056).

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

10018343104 is a wasteful number, since it uses less digits than its factorization.

10018343104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 10018343104 in words is "ten billion, eighteen million, three hundred forty-three thousand, one hundred four".