101838806784 has 864 divisors, whose sum is σ = 366412999680. Its totient is φ = 26763264000.

The previous prime is 101838806777. The next prime is 101838806801. The reversal of 101838806784 is 487608838101.

It is a happy number.

It is a super-2 number, since 2×101838806784² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101838806784.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 674429109 + ... + 674429259.

It is an arithmetic number, because the mean of its divisors is an integer number (424089120).

Almost surely, 2^101838806784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101838806784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183206499840).

101838806784 is an abundant number, since it is smaller than the sum of its proper divisors (264574192896).

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

101838806784 is a wasteful number, since it uses less digits than its factorization.

101838806784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 101838806784 in words is "one hundred one billion, eight hundred thirty-eight million, eight hundred six thousand, seven hundred eighty-four".