1020105310224 has 320 divisors, whose sum is σ = 3559232194560. Its totient is φ = 244578746880.

The previous prime is 1020105310219. The next prime is 1020105310297. The reversal of 1020105310224 is 4220135010201.

It is a super-2 number, since 2×1020105310224² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1020105310224.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8057299 + ... + 8182925.

It is an arithmetic number, because the mean of its divisors is an integer number (11122600608).

Almost surely, 2^{1020105310224} is an apocalyptic number.

1020105310224 is a gapful number since it is divisible by the number (14) 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 1020105310224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779616097280).

1020105310224 is an abundant number, since it is smaller than the sum of its proper divisors (2539126884336).

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

1020105310224 is a wasteful number, since it uses less digits than its factorization.

1020105310224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125695 (or 125663 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The spelling of 1020105310224 in words is "one trillion, twenty billion, one hundred five million, three hundred ten thousand, two hundred twenty-four".