105044240000 has 480 divisors, whose sum is σ = 308043394560. Its totient is φ = 35562240000.

The previous prime is 105044239969. The next prime is 105044240027. The reversal of 105044240000 is 42440501.

It is a super-2 number, since 2×105044240000² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 497839895 + ... + 497840105.

It is an arithmetic number, because the mean of its divisors is an integer number (641757072).

Almost surely, 2^105044240000 is an apocalyptic number.

105044240000 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 105044240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154021697280).

105044240000 is an abundant number, since it is smaller than the sum of its proper divisors (202999154560).

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

105044240000 is an equidigital number, since it uses as much as digits as its factorization.

105044240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 105044240000 its reverse (42440501), we get a palindrome (105086680501).

The spelling of 105044240000 in words is "one hundred five billion, forty-four million, two hundred forty thousand".