100861419456 has 896 divisors, whose sum is σ = 367047475200. Its totient is φ = 26555351040.

The previous prime is 100861419419. The next prime is 100861419479. The reversal of 100861419456 is 654914168001.

100861419456 is a `hidden beast` number, since 10 + 0 + 8 + 614 + 19 + 4 + 5 + 6 = 666.

100861419456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1039808400 + ... + 1039808496.

It is an arithmetic number, because the mean of its divisors is an integer number (409651200).

Almost surely, 2^100861419456 is an apocalyptic number.

100861419456 is a gapful number since it is divisible by the number (16) 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 100861419456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183523737600).

100861419456 is an abundant number, since it is smaller than the sum of its proper divisors (266186055744).

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

100861419456 is a wasteful number, since it uses less digits than its factorization.

100861419456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 100861419456 in words is "one hundred billion, eight hundred sixty-one million, four hundred nineteen thousand, four hundred fifty-six".