1005107216730 has 128 divisors (see below), whose sum is σ = 2480797870848. Its totient is φ = 260545001472.

The previous prime is 1005107216723. The next prime is 1005107216821. The reversal of 1005107216730 is 376127015001.

It is a junction number, because it is equal to n+sod(n) for n = 1005107216691 and 1005107216700.

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, 46152124 + ... + 46173896.

It is an arithmetic number, because the mean of its divisors is an integer number (19381233366).

Almost surely, 2^{1005107216730} is an apocalyptic number.

1005107216730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005107216730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240398935424).

1005107216730 is an abundant number, since it is smaller than the sum of its proper divisors (1475690654118).

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

1005107216730 is a wasteful number, since it uses less digits than its factorization.

1005107216730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22160.

The product of its (nonzero) digits is 8820, while the sum is 33.

The spelling of 1005107216730 in words is "one trillion, five billion, one hundred seven million, two hundred sixteen thousand, seven hundred thirty".