105440213122400 has 144 divisors (see below), whose sum is σ = 277240748987664. Its totient is φ = 38926943508480.

The previous prime is 105440213122399. The next prime is 105440213122411. The reversal of 105440213122400 is 4221312044501.

It is a happy number.

It is a super-2 number, since 2×105440213122400² (a number of 29 digits) contains 22 as substring.

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, 83792279 + ... + 85041321.

It is an arithmetic number, because the mean of its divisors is an integer number (1925282979081).

Almost surely, 2^{105440213122400} is an apocalyptic number.

105440213122400 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 105440213122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138620374493832).

105440213122400 is an abundant number, since it is smaller than the sum of its proper divisors (171800535865264).

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

105440213122400 is a wasteful number, since it uses less digits than its factorization.

105440213122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257193 (or 1257180 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 105440213122400 its reverse (4221312044501), we get a palindrome (109661525166901).

The spelling of 105440213122400 in words is "one hundred five trillion, four hundred forty billion, two hundred thirteen million, one hundred twenty-two thousand, four hundred".