10502900 has 36 divisors (see below), whose sum is σ = 22998528. Its totient is φ = 4163040.

The previous prime is 10502897. The next prime is 10502909. The reversal of 10502900 is 920501.

It is a super-2 number, since 2×10502900² = 220621816820000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10502909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12287 + ... + 13113.

It is an arithmetic number, because the mean of its divisors is an integer number (638848).

Almost surely, 2^10502900 is an apocalyptic number.

10502900 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 10502900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11499264).

10502900 is an abundant number, since it is smaller than the sum of its proper divisors (12495628).

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

10502900 is a wasteful number, since it uses less digits than its factorization.

10502900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 10502900 is about 3240.8177980257. The cubic root of 10502900 is about 218.9961148300.

The spelling of 10502900 in words is "ten million, five hundred two thousand, nine hundred".