1030105128700 has 72 divisors (see below), whose sum is σ = 2317091696640. Its totient is φ = 397081675200.

The previous prime is 1030105128677. The next prime is 1030105128719. The reversal of 1030105128700 is 78215010301.

It is a super-2 number, since 2×1030105128700² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45729 + ... + 1436071.

It is an arithmetic number, because the mean of its divisors is an integer number (32181829120).

Almost surely, 2^{1030105128700} is an apocalyptic number.

1030105128700 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 1030105128700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158545848320).

1030105128700 is an abundant number, since it is smaller than the sum of its proper divisors (1286986567940).

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

1030105128700 is a wasteful number, since it uses less digits than its factorization.

1030105128700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390627 (or 1390620 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The spelling of 1030105128700 in words is "one trillion, thirty billion, one hundred five million, one hundred twenty-eight thousand, seven hundred".