10505250000 has 840 divisors, whose sum is σ = 45336919680. Its totient is φ = 2217600000.

The previous prime is 10505249981. The next prime is 10505250001. The reversal of 10505250000 is 5250501.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×10505250000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505250001) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 362249986 + ... + 362250014.

Almost surely, 2^10505250000 is an apocalyptic number.

10505250000 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 10505250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22668459840).

10505250000 is an abundant number, since it is smaller than the sum of its proper divisors (34831669680).

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

10505250000 is an equidigital number, since it uses as much as digits as its factorization.

10505250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The spelling of 10505250000 in words is "ten billion, five hundred five million, two hundred fifty thousand".