85637106 has 24 divisors (see below), whose sum is σ = 187898880. Its totient is φ = 28183896.

The previous prime is 85637089. The next prime is 85637117. The reversal of 85637106 is 60173658.

85637106 is a `hidden beast` number, since 8 + 5 + 637 + 10 + 6 = 666.

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, 28690 + ... + 31533.

It is an arithmetic number, because the mean of its divisors is an integer number (7829120).

Almost surely, 2^85637106 is an apocalyptic number.

85637106 is an abundant number, since it is smaller than the sum of its proper divisors (102261774).

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

85637106 is a wasteful number, since it uses less digits than its factorization.

85637106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60310 (or 60307 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 85637106 is about 9254.0318780519. The cubic root of 85637106 is about 440.7787620298.

The spelling of 85637106 in words is "eighty-five million, six hundred thirty-seven thousand, one hundred six".