10545353700 has 432 divisors, whose sum is σ = 37256615424. Its totient is φ = 2293401600.

The previous prime is 10545353699. The next prime is 10545353737. The reversal of 10545353700 is 735354501.

10545353700 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 2×10545353700² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33265942 + ... + 33266258.

Almost surely, 2^10545353700 is an apocalyptic number.

10545353700 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 10545353700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18628307712).

10545353700 is an abundant number, since it is smaller than the sum of its proper divisors (26711261724).

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

10545353700 is a wasteful number, since it uses less digits than its factorization.

10545353700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 33.

The spelling of 10545353700 in words is "ten billion, five hundred forty-five million, three hundred fifty-three thousand, seven hundred".