105410004450000 has 240 divisors, whose sum is σ = 345158591686272. Its totient is φ = 27713425600000.

The previous prime is 105410004449999. The next prime is 105410004450011. The reversal of 105410004450000 is 54400014501.

It is a happy number.

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

It is a super-2 number, since 2×105410004450000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5701174 + ... + 15598826.

Almost surely, 2^{105410004450000} is an apocalyptic number.

105410004450000 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 105410004450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172579295843136).

105410004450000 is an abundant number, since it is smaller than the sum of its proper divisors (239748587236272).

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

105410004450000 is an frugal number, since it uses more digits than its factorization.

105410004450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9897760 (or 9897734 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 105410004450000 its reverse (54400014501), we get a palindrome (105464404464501).

The spelling of 105410004450000 in words is "one hundred five trillion, four hundred ten billion, four million, four hundred fifty thousand".