100290078720 has 960 divisors, whose sum is σ = 395571496320. Its totient is φ = 24153292800.

The previous prime is 100290078719. The next prime is 100290078727. The reversal of 100290078720 is 27870092001.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (100290078727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 765573055 + ... + 765573185.

It is an arithmetic number, because the mean of its divisors is an integer number (412053642).

Almost surely, 2^100290078720 is an apocalyptic number.

100290078720 is a gapful number since it is divisible by the number (10) 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 100290078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197785748160).

100290078720 is an abundant number, since it is smaller than the sum of its proper divisors (295281417600).

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

100290078720 is a wasteful number, since it uses less digits than its factorization.

100290078720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 100290078720 in words is "one hundred billion, two hundred ninety million, seventy-eight thousand, seven hundred twenty".