100085776 has 40 divisors (see below), whose sum is σ = 222396480. Its totient is φ = 42743424.

The previous prime is 100085759. The next prime is 100085801. The reversal of 100085776 is 677580001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34095 + ... + 36913.

It is an arithmetic number, because the mean of its divisors is an integer number (5559912).

Almost surely, 2^100085776 is an apocalyptic number.

100085776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100085776 is an abundant number, since it is smaller than the sum of its proper divisors (122310704).

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

100085776 is a wasteful number, since it uses less digits than its factorization.

100085776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3151 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

The square root of 100085776 is about 10004.2878807040. The cubic root of 100085776 is about 464.2915577422.

The spelling of 100085776 in words is "one hundred million, eighty-five thousand, seven hundred seventy-six".