10752346104 has 64 divisors (see below), whose sum is σ = 27651365280. Its totient is φ = 3482112000.

The previous prime is 10752346103. The next prime is 10752346127. The reversal of 10752346104 is 40164325701.

10752346104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10752346104² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10752346103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214474 + ... + 259814.

Almost surely, 2^10752346104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10752346104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13825682640).

10752346104 is an abundant number, since it is smaller than the sum of its proper divisors (16899019176).

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

10752346104 is a wasteful number, since it uses less digits than its factorization.

10752346104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45632 (or 45628 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 10752346104 in words is "ten billion, seven hundred fifty-two million, three hundred forty-six thousand, one hundred four".