85148100 has 108 divisors (see below), whose sum is σ = 274212484. Its totient is φ = 22083840.

The previous prime is 85148057. The next prime is 85148111. The reversal of 85148100 is 184158.

It can be written as a sum of positive squares in 6 ways, for example, as 213444 + 84934656 = 462^2 + 9216^2 .

It is a super-2 number, since 2×85148100² = 14500397867220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32022 + ... + 34578.

Almost surely, 2^85148100 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 85148100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137106242).

85148100 is an abundant number, since it is smaller than the sum of its proper divisors (189064384).

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

85148100 is a wasteful number, since it uses less digits than its factorization.

85148100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2614 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 85148100 is about 9227.5728119587. The cubic root of 85148100 is about 439.9381800199.

The spelling of 85148100 in words is "eighty-five million, one hundred forty-eight thousand, one hundred".