100542000000 has 448 divisors, whose sum is σ = 359784457200. Its totient is φ = 24729600000.

The previous prime is 100541999959. The next prime is 100542000001. The reversal of 100542000000 is 245001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 100542000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100542000001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 77999356 + ... + 78000644.

Almost surely, 2^100542000000 is an apocalyptic number.

100542000000 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 100542000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179892228600).

100542000000 is an abundant number, since it is smaller than the sum of its proper divisors (259242457200).

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

100542000000 is an frugal number, since it uses more digits than its factorization.

100542000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

Adding to 100542000000 its reverse (245001), we get a palindrome (100542245001).

The spelling of 100542000000 in words is "one hundred billion, five hundred forty-two million", and thus it is an aban number.