100665040 has 80 divisors (see below), whose sum is σ = 281589120. Its totient is φ = 32693760.

The previous prime is 100665013. The next prime is 100665079. The reversal of 100665040 is 40566001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5910 + ... + 15370.

It is an arithmetic number, because the mean of its divisors is an integer number (3519864).

Almost surely, 2^100665040 is an apocalyptic number.

100665040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100665040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140794560).

100665040 is an abundant number, since it is smaller than the sum of its proper divisors (180924080).

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

100665040 is a wasteful number, since it uses less digits than its factorization.

100665040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9500 (or 9494 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 100665040 is about 10033.1968982972. The cubic root of 100665040 is about 465.1855581935.

The spelling of 100665040 in words is "one hundred million, six hundred sixty-five thousand, forty".