85100400 has 360 divisors, whose sum is σ = 369393024. Its totient is φ = 17625600.

The previous prime is 85100399. The next prime is 85100401. The reversal of 85100400 is 400158.

It is an interprime number because it is at equal distance from previous prime (85100399) and next prime (85100401).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85100401) 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 71 ways as a sum of consecutive naturals, for example, 277047 + ... + 277353.

Almost surely, 2^85100400 is an apocalyptic number.

85100400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184696512).

85100400 is an abundant number, since it is smaller than the sum of its proper divisors (284292624).

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

85100400 is a wasteful number, since it uses less digits than its factorization.

85100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 85100400 is about 9224.9878048700. The cubic root of 85100400 is about 439.8560134928.

Adding to 85100400 its reverse (400158), we get a palindrome (85500558).

The spelling of 85100400 in words is "eighty-five million, one hundred thousand, four hundred".