10003542000 has 160 divisors (see below), whose sum is σ = 33123814464. Its totient is φ = 2595456000.

The previous prime is 10003541959. The next prime is 10003542097. The reversal of 10003542000 is 24530001.

10003542000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 199470 + ... + 244530.

Almost surely, 2^10003542000 is an apocalyptic number.

10003542000 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 10003542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16561907232).

10003542000 is an abundant number, since it is smaller than the sum of its proper divisors (23120272464).

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

10003542000 is a wasteful number, since it uses less digits than its factorization.

10003542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45124 (or 45108 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The spelling of 10003542000 in words is "ten billion, three million, five hundred forty-two thousand".