100040985 has 72 divisors (see below), whose sum is σ = 200840640. Its totient is φ = 45904320.

The previous prime is 100040953. The next prime is 100040989. The reversal of 100040985 is 589040001.

It is not a de Polignac number, because 100040985 - 2⁵ = 100040953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100040989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 102972 + ... + 103938.

Almost surely, 2^100040985 is an apocalyptic number.

100040985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100040985 is an abundant number, since it is smaller than the sum of its proper divisors (100799655).

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

100040985 is a wasteful number, since it uses less digits than its factorization.

100040985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 100040985 is about 10002.0490400717. The cubic root of 100040985 is about 464.2222865396. Note that the first 4 decimals are identical.

Adding to 100040985 its reverse (589040001), we get a palindrome (689080986).

It can be divided in two parts, 100040 and 985, that added together give a triangular number (101025 = T₄₄₉).

The spelling of 100040985 in words is "one hundred million, forty thousand, nine hundred eighty-five".