1010105060640 has 384 divisors, whose sum is σ = 3486497624064. Its totient is φ = 244317696000.

The previous prime is 1010105060633. The next prime is 1010105060651. The reversal of 1010105060640 is 460605010101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1010105060640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137781775 + ... + 137789105.

It is an arithmetic number, because the mean of its divisors is an integer number (9079420896).

Almost surely, 2^{1010105060640} is an apocalyptic number.

1010105060640 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 1010105060640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743248812032).

1010105060640 is an abundant number, since it is smaller than the sum of its proper divisors (2476392563424).

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

1010105060640 is a wasteful number, since it uses less digits than its factorization.

1010105060640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7744 (or 7736 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 1010105060640 in words is "one trillion, ten billion, one hundred five million, sixty thousand, six hundred forty".