105224003310400 has 168 divisors, whose sum is σ = 278928077701784. Its totient is φ = 38838760243200.

The previous prime is 105224003310343. The next prime is 105224003310443. The reversal of 105224003310400 is 4013300422501.

It can be written as a sum of positive squares in 12 ways, for example, as 18029942684224 + 87194060626176 = 4246168^2 + 9337776^2 .

It is a super-2 number, since 2×105224003310400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60565840 + ... + 62278960.

Almost surely, 2^{105224003310400} is an apocalyptic number.

105224003310400 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 105224003310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139464038850892).

105224003310400 is an abundant number, since it is smaller than the sum of its proper divisors (173704074391384).

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

105224003310400 is a wasteful number, since it uses less digits than its factorization.

105224003310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716109 (or 1716094 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 105224003310400 its reverse (4013300422501), we get a palindrome (109237303732901).

The spelling of 105224003310400 in words is "one hundred five trillion, two hundred twenty-four billion, three million, three hundred ten thousand, four hundred".