1085935110100 has 36 divisors (see below), whose sum is σ = 2400941072124. Its totient is φ = 426178305280.

The previous prime is 1085935110067. The next prime is 1085935110103. The reversal of 1085935110100 is 10115395801.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 132742178244 + 953192931856 = 364338^2 + 976316^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085935110103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102441409 + ... + 102452008.

It is an arithmetic number, because the mean of its divisors is an integer number (66692807559).

Almost surely, 2^{1085935110100} is an apocalyptic number.

1085935110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1085935110100 is an abundant number, since it is smaller than the sum of its proper divisors (1315005962024).

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

1085935110100 is a wasteful number, since it uses less digits than its factorization.

1085935110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204893484 (or 204893477 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 34.

The spelling of 1085935110100 in words is "one trillion, eighty-five billion, nine hundred thirty-five million, one hundred ten thousand, one hundred".