105422123242000 has 80 divisors (see below), whose sum is σ = 258715331551872. Its totient is φ = 41539463433600.

The previous prime is 105422123241937. The next prime is 105422123242003. The reversal of 105422123242000 is 242321224501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105422123242000² (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 105422123242000.

It is not an unprimeable number, because it can be changed into a prime (105422123242003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393232132 + ... + 393500131.

Almost surely, 2^{105422123242000} is an apocalyptic number.

105422123242000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105422123242000 is an abundant number, since it is smaller than the sum of its proper divisors (153293208309872).

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

105422123242000 is an equidigital number, since it uses as much as digits as its factorization.

105422123242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786732353 (or 786732337 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 105422123242000 its reverse (242321224501), we get a palindrome (105664444466501).

The spelling of 105422123242000 in words is "one hundred five trillion, four hundred twenty-two billion, one hundred twenty-three million, two hundred forty-two thousand".