10506778180 has 12 divisors (see below), whose sum is σ = 22064234220. Its totient is φ = 4202711264.

The previous prime is 10506778169. The next prime is 10506778193. The reversal of 10506778180 is 8187760501.

It can be written as a sum of positive squares in 2 ways, for example, as 1389201984 + 9117576196 = 37272^2 + 95486^2 .

It is a super-2 number, since 2×10506778180² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 262669435 + ... + 262669474.

It is an arithmetic number, because the mean of its divisors is an integer number (1838686185).

Almost surely, 2^10506778180 is an apocalyptic number.

10506778180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10506778180 is an abundant number, since it is smaller than the sum of its proper divisors (11557456040).

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

10506778180 is a wasteful number, since it uses less digits than its factorization.

10506778180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525338918 (or 525338916 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 43.

The spelling of 10506778180 in words is "ten billion, five hundred six million, seven hundred seventy-eight thousand, one hundred eighty".