1006465010100 has 144 divisors (see below), whose sum is σ = 3208223785536. Its totient is φ = 241575680000.

The previous prime is 1006465010077. The next prime is 1006465010107. The reversal of 1006465010100 is 10105646001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006465010107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1176549 + ... + 1843148.

It is an arithmetic number, because the mean of its divisors is an integer number (22279331844).

Almost surely, 2^{1006465010100} is an apocalyptic number.

1006465010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006465010100 is an abundant number, since it is smaller than the sum of its proper divisors (2201758775436).

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

1006465010100 is a wasteful number, since it uses less digits than its factorization.

1006465010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019826 (or 3019819 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 1006465010100 in words is "one trillion, six billion, four hundred sixty-five million, ten thousand, one hundred".