10500310350 has 72 divisors (see below), whose sum is σ = 28631973240. Its totient is φ = 2758282560.

The previous prime is 10500310333. The next prime is 10500310351. The reversal of 10500310350 is 5301300501.

It is a happy number.

10500310350 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 0 + 310 + 350 = 666.

10500310350 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 2×10500310350² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10500310351) 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 35 ways as a sum of consecutive naturals, for example, 143985 + ... + 204284.

It is an arithmetic number, because the mean of its divisors is an integer number (397666295).

Almost surely, 2^10500310350 is an apocalyptic number.

10500310350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10500310350 is an abundant number, since it is smaller than the sum of its proper divisors (18131662890).

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

10500310350 is a wasteful number, since it uses less digits than its factorization.

10500310350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348354 (or 348346 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

Adding to 10500310350 its reverse (5301300501), we get a palindrome (15801610851).

The spelling of 10500310350 in words is "ten billion, five hundred million, three hundred ten thousand, three hundred fifty".