10553532100 has 72 divisors (see below), whose sum is σ = 23935733640. Its totient is φ = 4033720320.

The previous prime is 10553532047. The next prime is 10553532107. The reversal of 10553532100 is 123535501.

It can be written as a sum of positive squares in 12 ways, for example, as 2857330116 + 7696201984 = 53454^2 + 87728^2 .

It is a super-2 number, since 2×10553532100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10553532107) 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, 262542 + ... + 300058.

It is an arithmetic number, because the mean of its divisors is an integer number (332440745).

Almost surely, 2^10553532100 is an apocalyptic number.

10553532100 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 10553532100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11967866820).

10553532100 is an abundant number, since it is smaller than the sum of its proper divisors (13382201540).

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

10553532100 is a wasteful number, since it uses less digits than its factorization.

10553532100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37657 (or 37650 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The spelling of 10553532100 in words is "ten billion, five hundred fifty-three million, five hundred thirty-two thousand, one hundred".