1085435107320 has 256 divisors, whose sum is σ = 3564120268800. Its totient is φ = 263261306880.

The previous prime is 1085435107291. The next prime is 1085435107321. The reversal of 1085435107320 is 237015345801.

It is a happy number.

It is a super-3 number, since 3×1085435107320³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085435107321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45963676 + ... + 45987284.

It is an arithmetic number, because the mean of its divisors is an integer number (13922344800).

Almost surely, 2^{1085435107320} is an apocalyptic number.

1085435107320 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 1085435107320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782060134400).

1085435107320 is an abundant number, since it is smaller than the sum of its proper divisors (2478685161480).

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

1085435107320 is a wasteful number, since it uses less digits than its factorization.

1085435107320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24398 (or 24394 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 1085435107320 in words is "one trillion, eighty-five billion, four hundred thirty-five million, one hundred seven thousand, three hundred twenty".