105401020000 has 240 divisors, whose sum is σ = 276508264032. Its totient is φ = 39398400000.

The previous prime is 105401019967. The next prime is 105401020013. The reversal of 105401020000 is 20104501.

It is a super-2 number, since 2×105401020000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51338974 + ... + 51341026.

Almost surely, 2^105401020000 is an apocalyptic number.

105401020000 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 105401020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138254132016).

105401020000 is an abundant number, since it is smaller than the sum of its proper divisors (171107244032).

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

105401020000 is a wasteful number, since it uses less digits than its factorization.

105401020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

Adding to 105401020000 its reverse (20104501), we get a palindrome (105421124501).

The spelling of 105401020000 in words is "one hundred five billion, four hundred one million, twenty thousand".