85506100 has 18 divisors (see below), whose sum is σ = 185548454. Its totient is φ = 34202400.

The previous prime is 85506097. The next prime is 85506101. The reversal of 85506100 is 160558.

It can be written as a sum of positive squares in 3 ways, for example, as 15649936 + 69856164 = 3956^2 + 8358^2 .

It is a super-2 number, since 2×85506100² = 14622586274420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85506101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 427431 + ... + 427630.

Almost surely, 2^85506100 is an apocalyptic number.

It is an amenable number.

85506100 is an abundant number, since it is smaller than the sum of its proper divisors (100042354).

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

85506100 is a wasteful number, since it uses less digits than its factorization.

85506100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855075 (or 855068 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 85506100 is about 9246.9508487933. The cubic root of 85506100 is about 440.5538823571.

Adding to 85506100 its reverse (160558), we get a palindrome (85666658).

The spelling of 85506100 in words is "eighty-five million, five hundred six thousand, one hundred".