105421250000 has 480 divisors, whose sum is σ = 304392580128. Its totient is φ = 35200000000.

The previous prime is 105421249963. The next prime is 105421250023. The reversal of 105421250000 is 52124501.

It can be written as a sum of positive squares in 16 ways, for example, as 28532615056 + 76888634944 = 168916^2 + 277288^2 .

It is a super-2 number, since 2×105421250000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 95 ways as a sum of consecutive naturals, for example, 2571249980 + ... + 2571250020.

Almost surely, 2^105421250000 is an apocalyptic number.

105421250000 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 105421250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152196290064).

105421250000 is an abundant number, since it is smaller than the sum of its proper divisors (198971330128).

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

105421250000 is an frugal number, since it uses more digits than its factorization.

105421250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 105421250000 its reverse (52124501), we get a palindrome (105473374501).

The spelling of 105421250000 in words is "one hundred five billion, four hundred twenty-one million, two hundred fifty thousand".