10530083100 has 288 divisors, whose sum is σ = 34557788160. Its totient is φ = 2461536000.

The previous prime is 10530083099. The next prime is 10530083107. The reversal of 10530083100 is 138003501.

It is a happy number.

It is a super-2 number, since 2×10530083100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10530083107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4062805 + ... + 4065395.

It is an arithmetic number, because the mean of its divisors is an integer number (119992320).

Almost surely, 2^10530083100 is an apocalyptic number.

10530083100 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 10530083100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17278894080).

10530083100 is an abundant number, since it is smaller than the sum of its proper divisors (24027705060).

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

10530083100 is a wasteful number, since it uses less digits than its factorization.

10530083100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 10530083100 its reverse (138003501), we get a palindrome (10668086601).

The spelling of 10530083100 in words is "ten billion, five hundred thirty million, eighty-three thousand, one hundred".