15105442000000 has 224 divisors, whose sum is σ = 41035270054320. Its totient is φ = 5492880000000.

The previous prime is 15105441999911. The next prime is 15105442000027. The reversal of 15105442000000 is 24450151.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 21656695 + ... + 22343305.

Almost surely, 2^{15105442000000} is an apocalyptic number.

15105442000000 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 15105442000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20517635027160).

15105442000000 is an abundant number, since it is smaller than the sum of its proper divisors (25929828054320).

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

15105442000000 is an frugal number, since it uses more digits than its factorization.

15105442000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686666 (or 686629 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 15105442000000 its reverse (24450151), we get a palindrome (15105466450151).

The spelling of 15105442000000 in words is "fifteen trillion, one hundred five billion, four hundred forty-two million", and thus it is an aban number.