85130100 has 108 divisors (see below), whose sum is σ = 291127200. Its totient is φ = 20635200.

The previous prime is 85130099. The next prime is 85130183. The reversal of 85130100 is 103158.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5601 + ... + 14199.

Almost surely, 2^85130100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145563600).

85130100 is an abundant number, since it is smaller than the sum of its proper divisors (205997100).

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

85130100 is a wasteful number, since it uses less digits than its factorization.

85130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8630 (or 8620 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 85130100 is about 9226.5974226689. The cubic root of 85130100 is about 439.9071773892.

Adding to 85130100 its reverse (103158), we get a palindrome (85233258).

The spelling of 85130100 in words is "eighty-five million, one hundred thirty thousand, one hundred".