105042001017000 has 128 divisors (see below), whose sum is σ = 327807781292160. Its totient is φ = 28004641459200.

The previous prime is 105042001016999. The next prime is 105042001017043. The reversal of 105042001017000 is 710100240501.

It is a happy number.

It is a super-2 number, since 2×105042001017000² (a number of 29 digits) contains 22 as substring.

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, 8721879 + ... + 16916121.

It is an arithmetic number, because the mean of its divisors is an integer number (2560998291345).

Almost surely, 2^{105042001017000} is an apocalyptic number.

105042001017000 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 105042001017000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163903890646080).

105042001017000 is an abundant number, since it is smaller than the sum of its proper divisors (222765780275160).

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

105042001017000 is a wasteful number, since it uses less digits than its factorization.

105042001017000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8198540 (or 8198526 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

Adding to 105042001017000 its reverse (710100240501), we get a palindrome (105752101257501).

The spelling of 105042001017000 in words is "one hundred five trillion, forty-two billion, one million, seventeen thousand".