101828846096784 has 135 divisors (see below), whose sum is σ = 286930641890529. Its totient is φ = 33712106342400.

The previous prime is 101828846096753. The next prime is 101828846096801. The reversal of 101828846096784 is 487690648828101.

It is a happy number.

The square root of 101828846096784 is 10091028.

It is a perfect power (a square), and thus also a powerful number.

101828846096784 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 2 + 8 + 8 + 4 + 609 + 6 + 7 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18426655146384 + 83402190950400 = 4292628^2 + 9132480^2 .

It is a super-2 number, since 2×101828846096784² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 26 ways as a sum of consecutive naturals, for example, 18284939952 + ... + 18284945520.

Almost surely, 2^{101828846096784} is an apocalyptic number.

101828846096784 is the 10091028-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101828846096784

101828846096784 is an abundant number, since it is smaller than the sum of its proper divisors (185101795793745).

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

101828846096784 is an frugal number, since it uses more digits than its factorization.

101828846096784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11454 (or 5725 counting only the distinct ones).

The product of its (nonzero) digits is 297271296, while the sum is 72.

The spelling of 101828846096784 in words is "one hundred one trillion, eight hundred twenty-eight billion, eight hundred forty-six million, ninety-six thousand, seven hundred eighty-four".