10267781000 has 32 divisors (see below), whose sum is σ = 24026609880. Its totient is φ = 4107112000.

The previous prime is 10267780997. The next prime is 10267781011. The reversal of 10267781000 is 18776201.

It can be written as a sum of positive squares in 4 ways, for example, as 3707104996 + 6560676004 = 60886^2 + 80998^2 .

It is a super-2 number, since 2×10267781000² (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 7 ways as a sum of consecutive naturals, for example, 5132891 + ... + 5134890.

Almost surely, 2^10267781000 is an apocalyptic number.

10267781000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10267781000 is an abundant number, since it is smaller than the sum of its proper divisors (13758828880).

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

10267781000 is a wasteful number, since it uses less digits than its factorization.

10267781000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10267802 (or 10267788 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The spelling of 10267781000 in words is "ten billion, two hundred sixty-seven million, seven hundred eighty-one thousand".