85141404100 has 27 divisors (see below), whose sum is σ = 184763178957. Its totient is φ = 34055394480.

The previous prime is 85141404097. The next prime is 85141404149. The reversal of 85141404100 is 140414158.

The square root of 85141404100 is 291790.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 30650905476 + 54490498624 = 175074^2 + 233432^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2903311 + ... + 2932489.

Almost surely, 2^85141404100 is an apocalyptic number.

85141404100 is the 291790-th square number.

It is an amenable number.

85141404100 is an abundant number, since it is smaller than the sum of its proper divisors (99621774857).

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

85141404100 is an frugal number, since it uses more digits than its factorization.

85141404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58372 (or 29186 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

Adding to 85141404100 its reverse (140414158), we get a palindrome (85281818258).

The spelling of 85141404100 in words is "eighty-five billion, one hundred forty-one million, four hundred four thousand, one hundred".