105215421333000 has 512 divisors, whose sum is σ = 370583877081600. Its totient is φ = 24619245056000.

The previous prime is 105215421332977. The next prime is 105215421333019. The reversal of 105215421333000 is 333124512501.

It is a super-2 number, since 2×105215421333000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3266224894 + ... + 3266257106.

It is an arithmetic number, because the mean of its divisors is an integer number (723796634925).

Almost surely, 2^{105215421333000} is an apocalyptic number.

105215421333000 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 105215421333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185291938540800).

105215421333000 is an abundant number, since it is smaller than the sum of its proper divisors (265368455748600).

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

105215421333000 is a wasteful number, since it uses less digits than its factorization.

105215421333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35690 (or 35676 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 105215421333000 its reverse (333124512501), we get a palindrome (105548545845501).

The spelling of 105215421333000 in words is "one hundred five trillion, two hundred fifteen billion, four hundred twenty-one million, three hundred thirty-three thousand".