10506321054 has 64 divisors (see below), whose sum is σ = 24943161600. Its totient is φ = 3268245024.

The previous prime is 10506321047. The next prime is 10506321071. The reversal of 10506321054 is 45012360501.

10506321054 is a `hidden beast` number, since 10 + 5 + 0 + 632 + 10 + 5 + 4 = 666.

It is a super-2 number, since 2×10506321054² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7677 + ... + 145160.

It is an arithmetic number, because the mean of its divisors is an integer number (389736900).

Almost surely, 2^10506321054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10506321054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12471580800).

10506321054 is an abundant number, since it is smaller than the sum of its proper divisors (14436840546).

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

10506321054 is a wasteful number, since it uses less digits than its factorization.

10506321054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152934 (or 152928 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 10506321054 its reverse (45012360501), we get a palindrome (55518681555).

The spelling of 10506321054 in words is "ten billion, five hundred six million, three hundred twenty-one thousand, fifty-four".