10590105380 has 24 divisors (see below), whose sum is σ = 22258006848. Its totient is φ = 4232463968.

The previous prime is 10590105367. The next prime is 10590105389. The reversal of 10590105380 is 8350109501.

10590105380 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 2×10590105380² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10590105389) 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 7 ways as a sum of consecutive naturals, for example, 199304 + ... + 246783.

It is an arithmetic number, because the mean of its divisors is an integer number (927416952).

Almost surely, 2^10590105380 is an apocalyptic number.

10590105380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10590105380 is an abundant number, since it is smaller than the sum of its proper divisors (11667901468).

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

10590105380 is a wasteful number, since it uses less digits than its factorization.

10590105380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447283 (or 447281 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 32.

The spelling of 10590105380 in words is "ten billion, five hundred ninety million, one hundred five thousand, three hundred eighty".