105204240000 has 240 divisors, whose sum is σ = 378301693770. Its totient is φ = 28054272000.

The previous prime is 105204239999. The next prime is 105204240049. The reversal of 105204240000 is 42402501.

It can be written as a sum of positive squares in 5 ways, for example, as 8801441856 + 96402798144 = 93816^2 + 310488^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×105204240000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 29 ways as a sum of consecutive naturals, for example, 646942 + ... + 793058.

Almost surely, 2^105204240000 is an apocalyptic number.

105204240000 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 105204240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189150846885).

105204240000 is an abundant number, since it is smaller than the sum of its proper divisors (273097453770).

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

105204240000 is an equidigital number, since it uses as much as digits as its factorization.

105204240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146157 (or 146127 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 105204240000 its reverse (42402501), we get a palindrome (105246642501).

The spelling of 105204240000 in words is "one hundred five billion, two hundred four million, two hundred forty thousand".