100006466040 has 96 divisors (see below), whose sum is σ = 350022647520. Its totient is φ = 24616975104.

The previous prime is 100006466029. The next prime is 100006466051. The reversal of 100006466040 is 40664600001.

100006466040 is a `hidden beast` number, since 10 + 0 + 0 + 0 + 6 + 46 + 604 + 0 = 666.

100006466040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100006466029) and next prime (100006466051).

It is a junction number, because it is equal to n+sod(n) for n = 100006465995 and 100006466013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10679772 + ... + 10689131.

It is an arithmetic number, because the mean of its divisors is an integer number (3646069245).

Almost surely, 2^100006466040 is an apocalyptic number.

100006466040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100006466040 is an abundant number, since it is smaller than the sum of its proper divisors (250016181480).

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

100006466040 is a wasteful number, since it uses less digits than its factorization.

100006466040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21368933 (or 21368926 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 100006466040 in words is "one hundred billion, six million, four hundred sixty-six thousand, forty".