105546102112000 has 288 divisors, whose sum is σ = 289671137316288. Its totient is φ = 38000384000000.

The previous prime is 105546102111973. The next prime is 105546102112063. The reversal of 105546102112000 is 211201645501.

It is a super-2 number, since 2×105546102112000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105546102112000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34067610 + ... + 37036390.

It is an arithmetic number, because the mean of its divisors is an integer number (1005802560126).

Almost surely, 2^{105546102112000} is an apocalyptic number.

105546102112000 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 105546102112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144835568658144).

105546102112000 is an abundant number, since it is smaller than the sum of its proper divisors (184125035204288).

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

105546102112000 is a wasteful number, since it uses less digits than its factorization.

105546102112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2968924 (or 2968900 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

Adding to 105546102112000 its reverse (211201645501), we get a palindrome (105757303757501).

The spelling of 105546102112000 in words is "one hundred five trillion, five hundred forty-six billion, one hundred two million, one hundred twelve thousand".