10003261000 has 64 divisors (see below), whose sum is σ = 23737484160. Its totient is φ = 3944920000.

The previous prime is 10003260997. The next prime is 10003261013. The reversal of 10003261000 is 16230001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555 + ... + 141445.

It is an arithmetic number, because the mean of its divisors is an integer number (370898190).

Almost surely, 2^10003261000 is an apocalyptic number.

10003261000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10003261000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11868742080).

10003261000 is an abundant number, since it is smaller than the sum of its proper divisors (13734223160).

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

10003261000 is a wasteful number, since it uses less digits than its factorization.

10003261000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140983 (or 140969 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10003261000 its reverse (16230001), we get a palindrome (10019491001).

The spelling of 10003261000 in words is "ten billion, three million, two hundred sixty-one thousand".