100091780544 has 224 divisors, whose sum is σ = 311955240960. Its totient is φ = 27730501632.

The previous prime is 100091780527. The next prime is 100091780557. The reversal of 100091780544 is 445087190001.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6878044 + ... + 6892580.

Almost surely, 2^100091780544 is an apocalyptic number.

100091780544 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 100091780544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155977620480).

100091780544 is an abundant number, since it is smaller than the sum of its proper divisors (211863460416).

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

100091780544 is a wasteful number, since it uses less digits than its factorization.

100091780544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14715 (or 14705 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 100091780544 in words is "one hundred billion, ninety-one million, seven hundred eighty thousand, five hundred forty-four".