85690100 has 18 divisors (see below), whose sum is σ = 185947734. Its totient is φ = 34276000.

The previous prime is 85690097. The next prime is 85690103. The reversal of 85690100 is 109658.

It is an interprime number because it is at equal distance from previous prime (85690097) and next prime (85690103).

It can be written as a sum of positive squares in 3 ways, for example, as 7862416 + 77827684 = 2804^2 + 8822^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85690103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 428351 + ... + 428550.

Almost surely, 2^85690100 is an apocalyptic number.

It is an amenable number.

85690100 is an abundant number, since it is smaller than the sum of its proper divisors (100257634).

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

85690100 is a wasteful number, since it uses less digits than its factorization.

85690100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856915 (or 856908 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 85690100 is about 9256.8947277151. The cubic root of 85690100 is about 440.8696642652.

Adding to 85690100 its reverse (109658), we get a palindrome (85799758).

The spelling of 85690100 in words is "eighty-five million, six hundred ninety thousand, one hundred".