10505091860 has 48 divisors (see below), whose sum is σ = 23620902480. Its totient is φ = 3910410240.

The previous prime is 10505091803. The next prime is 10505091899. The reversal of 10505091860 is 6819050501.

10505091860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 11957764 + 10493134096 = 3458^2 + 102436^2 .

It is a super-2 number, since 2×10505091860² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10505091860.

It is a congruent number.

It is an unprimeable number.

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, 143321 + ... + 203840.

It is an arithmetic number, because the mean of its divisors is an integer number (492102135).

Almost surely, 2^10505091860 is an apocalyptic number.

10505091860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10505091860 is an abundant number, since it is smaller than the sum of its proper divisors (13115810620).

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

10505091860 is a wasteful number, since it uses less digits than its factorization.

10505091860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347276 (or 347274 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 35.

The spelling of 10505091860 in words is "ten billion, five hundred five million, ninety-one thousand, eight hundred sixty".