10533634300 has 144 divisors (see below), whose sum is σ = 27340250112. Its totient is φ = 3444249600.

The previous prime is 10533634291. The next prime is 10533634327. The reversal of 10533634300 is 343633501.

It is a super-2 number, since 2×10533634300² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6970545 + ... + 6972055.

It is an arithmetic number, because the mean of its divisors is an integer number (189862848).

Almost surely, 2^10533634300 is an apocalyptic number.

10533634300 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 10533634300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13670125056).

10533634300 is an abundant number, since it is smaller than the sum of its proper divisors (16806615812).

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

10533634300 is a wasteful number, since it uses less digits than its factorization.

10533634300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 28.

The spelling of 10533634300 in words is "ten billion, five hundred thirty-three million, six hundred thirty-four thousand, three hundred".