10661300 has 72 divisors (see below), whose sum is σ = 25519200. Its totient is φ = 3841920.

The previous prime is 10661297. The next prime is 10661311. The reversal of 10661300 is 316601.

10661300 = T₉₁₁ + T₉₁₂ + ... + T₉₃₅.

10661300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10661300² = 227326635380000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76631 + ... + 76769.

Almost surely, 2^10661300 is an apocalyptic number.

10661300 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 10661300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12759600).

10661300 is an abundant number, since it is smaller than the sum of its proper divisors (14857900).

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

10661300 is a wasteful number, since it uses less digits than its factorization.

10661300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 10661300 is about 3265.1646206585. The cubic root of 10661300 is about 220.0915596855.

Adding to 10661300 its reverse (316601), we get a palindrome (10977901).

The spelling of 10661300 in words is "ten million, six hundred sixty-one thousand, three hundred".