105551414400 has 384 divisors, whose sum is σ = 369384840000. Its totient is φ = 26416005120.

The previous prime is 105551414351. The next prime is 105551414407. The reversal of 105551414400 is 4414155501.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×105551414400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (105551414407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19878946 + ... + 19884254.

Almost surely, 2^105551414400 is an apocalyptic number.

105551414400 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 105551414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184692420000).

105551414400 is an abundant number, since it is smaller than the sum of its proper divisors (263833425600).

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

105551414400 is a wasteful number, since it uses less digits than its factorization.

105551414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5464 (or 5447 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

Adding to 105551414400 its reverse (4414155501), we get a palindrome (109965569901).

The spelling of 105551414400 in words is "one hundred five billion, five hundred fifty-one million, four hundred fourteen thousand, four hundred".