85712100 has 36 divisors (see below), whose sum is σ = 247994544. Its totient is φ = 22856480.

The previous prime is 85712089. The next prime is 85712111. The reversal of 85712100 is 121758.

It is an interprime number because it is at equal distance from previous prime (85712089) and next prime (85712111).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142554 + ... + 143153.

Almost surely, 2^85712100 is an apocalyptic number.

It is an amenable number.

85712100 is an abundant number, since it is smaller than the sum of its proper divisors (162282444).

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

85712100 is a wasteful number, since it uses less digits than its factorization.

85712100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285724 (or 285717 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 85712100 is about 9258.0829549103. The cubic root of 85712100 is about 440.9073905318.

Adding to 85712100 its reverse (121758), we get a palindrome (85833858).

The spelling of 85712100 in words is "eighty-five million, seven hundred twelve thousand, one hundred".