10015542200 has 96 divisors (see below), whose sum is σ = 24542179200. Its totient is φ = 3790650240.

The previous prime is 10015542161. The next prime is 10015542203. The reversal of 10015542200 is 224551001.

10015542200 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 2×10015542200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10015542203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5421677 + ... + 5423523.

It is an arithmetic number, because the mean of its divisors is an integer number (255647700).

Almost surely, 2^10015542200 is an apocalyptic number.

10015542200 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 10015542200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12271089600).

10015542200 is an abundant number, since it is smaller than the sum of its proper divisors (14526637000).

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

10015542200 is a wasteful number, since it uses less digits than its factorization.

10015542200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3300 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The spelling of 10015542200 in words is "ten billion, fifteen million, five hundred forty-two thousand, two hundred".