100468940544 has 576 divisors, whose sum is σ = 359600102400. Its totient is φ = 27029127168.

The previous prime is 100468940531. The next prime is 100468940567. The reversal of 100468940544 is 445049864001.

100468940544 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 68 + 9 + 40 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 100468940544.

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 63 ways as a sum of consecutive naturals, for example, 269353542 + ... + 269353914.

Almost surely, 2^100468940544 is an apocalyptic number.

100468940544 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 100468940544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179800051200).

100468940544 is an abundant number, since it is smaller than the sum of its proper divisors (259131161856).

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

100468940544 is a wasteful number, since it uses less digits than its factorization.

100468940544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 100468940544 in words is "one hundred billion, four hundred sixty-eight million, nine hundred forty thousand, five hundred forty-four".