85154100 has 72 divisors (see below), whose sum is σ = 249567360. Its totient is φ = 22414080.

The previous prime is 85154087. The next prime is 85154101. The reversal of 85154100 is 145158.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85154101) 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, 21904 + ... + 25496.

Almost surely, 2^85154100 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 85154100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124783680).

85154100 is an abundant number, since it is smaller than the sum of its proper divisors (164413260).

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

85154100 is a wasteful number, since it uses less digits than its factorization.

85154100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3689 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 85154100 is about 9227.8979188112. The cubic root of 85154100 is about 439.9485132592.

Adding to 85154100 its reverse (145158), we get a palindrome (85299258).

The spelling of 85154100 in words is "eighty-five million, one hundred fifty-four thousand, one hundred".