85157100 has 162 divisors, whose sum is σ = 310659804. Its totient is φ = 19454400.

The previous prime is 85157089. The next prime is 85157101. The reversal of 85157100 is 175158.

It is not an unprimeable number, because it can be changed into a prime (85157101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 43135 + ... + 45065.

Almost surely, 2^85157100 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 85157100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155329902).

85157100 is an abundant number, since it is smaller than the sum of its proper divisors (225502704).

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

85157100 is a wasteful number, since it uses less digits than its factorization.

85157100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The square root of 85157100 is about 9228.0604679423. The cubic root of 85157100 is about 439.9536796969.

The spelling of 85157100 in words is "eighty-five million, one hundred fifty-seven thousand, one hundred".