101068680964440 has 256 divisors, whose sum is σ = 370151742366720. Its totient is φ = 21550094254080.

The previous prime is 101068680964439. The next prime is 101068680964451. The reversal of 101068680964440 is 44469086860101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29703346 + ... + 32930625.

It is an arithmetic number, because the mean of its divisors is an integer number (1445905243620).

Almost surely, 2^{101068680964440} is an apocalyptic number.

101068680964440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101068680964440 is an abundant number, since it is smaller than the sum of its proper divisors (269083061402280).

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

101068680964440 is a wasteful number, since it uses less digits than its factorization.

101068680964440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62634122 (or 62634118 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 101068680964440 in words is "one hundred one trillion, sixty-eight billion, six hundred eighty million, nine hundred sixty-four thousand, four hundred forty".