100764663206844 has 192 divisors, whose sum is σ = 304668569640960. Its totient is φ = 25171402095360.

The previous prime is 100764663206819. The next prime is 100764663206873. The reversal of 100764663206844 is 448602366467001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 100564987 + ... + 101562029.

It is an arithmetic number, because the mean of its divisors is an integer number (1586815466880).

Almost surely, 2^{100764663206844} is an apocalyptic number.

100764663206844 is a gapful number since it is divisible by the number (14) 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 100764663206844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152334284820480).

100764663206844 is an abundant number, since it is smaller than the sum of its proper divisors (203903906434116).

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

100764663206844 is a wasteful number, since it uses less digits than its factorization.

100764663206844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001960 (or 1001958 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 57.

The spelling of 100764663206844 in words is "one hundred trillion, seven hundred sixty-four billion, six hundred sixty-three million, two hundred six thousand, eight hundred forty-four".