85403100 has 72 divisors (see below), whose sum is σ = 260122240. Its totient is φ = 21574080.

The previous prime is 85403093. The next prime is 85403107. The reversal of 85403100 is 130458.

It is an interprime number because it is at equal distance from previous prime (85403093) and next prime (85403107).

It is a super-2 number, since 2×85403100² = 14587378979220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85403107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1792 + ... + 13191.

Almost surely, 2^85403100 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 85403100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130061120).

85403100 is an abundant number, since it is smaller than the sum of its proper divisors (174719140).

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

85403100 is a wasteful number, since it uses less digits than its factorization.

85403100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15019 (or 15012 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 85403100 is about 9241.3797671127. The cubic root of 85403100 is about 440.3769153244.

Adding to 85403100 its reverse (130458), we get a palindrome (85533558).

The spelling of 85403100 in words is "eighty-five million, four hundred three thousand, one hundred".