10506543354 has 192 divisors, whose sum is σ = 26131248000. Its totient is φ = 3030773760.

The previous prime is 10506543353. The next prime is 10506543389. The reversal of 10506543354 is 45334560501.

10506543354 is a `hidden beast` number, since 10 + 50 + 6 + 543 + 3 + 54 = 666.

10506543354 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 2×10506543354² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10506543353) 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 95 ways as a sum of consecutive naturals, for example, 37389694 + ... + 37389974.

It is an arithmetic number, because the mean of its divisors is an integer number (136100250).

Almost surely, 2^10506543354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10506543354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13065624000).

10506543354 is an abundant number, since it is smaller than the sum of its proper divisors (15624704646).

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

10506543354 is a wasteful number, since it uses less digits than its factorization.

10506543354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 10506543354 in words is "ten billion, five hundred six million, five hundred forty-three thousand, three hundred fifty-four".