10645510600 has 96 divisors (see below), whose sum is σ = 25519069800. Its totient is φ = 4127385600.

The previous prime is 10645510583. The next prime is 10645510607. The reversal of 10645510600 is 601554601.

It can be written as a sum of positive squares in 12 ways, for example, as 131469156 + 10514041444 = 11466^2 + 102538^2 .

It is a super-2 number, since 2×10645510600² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10645510607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1283266 + ... + 1291534.

Almost surely, 2^10645510600 is an apocalyptic number.

10645510600 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 10645510600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12759534900).

10645510600 is an abundant number, since it is smaller than the sum of its proper divisors (14873559200).

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

10645510600 is a wasteful number, since it uses less digits than its factorization.

10645510600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8483 (or 8474 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 10645510600 in words is "ten billion, six hundred forty-five million, five hundred ten thousand, six hundred".