1085301101430 has 480 divisors, whose sum is σ = 3814825823424. Its totient is φ = 219028271616.

The previous prime is 1085301101429. The next prime is 1085301101473. The reversal of 1085301101430 is 341011035801.

1085301101430 is a `hidden beast` number, since 1 + 0 + 8 + 530 + 110 + 14 + 3 + 0 = 666.

It is a super-2 number, since 2×1085301101430² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1085301101394 and 1085301101403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11821584 + ... + 11913036.

Almost surely, 2^{1085301101430} is an apocalyptic number.

1085301101430 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 1085301101430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907412911712).

1085301101430 is an abundant number, since it is smaller than the sum of its proper divisors (2729524721994).

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

1085301101430 is a wasteful number, since it uses less digits than its factorization.

1085301101430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91522 (or 91506 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 1085301101430 in words is "one trillion, eighty-five billion, three hundred one million, one hundred one thousand, four hundred thirty".