100144745280 has 560 divisors, whose sum is σ = 374254556544. Its totient is φ = 25370357760.

The previous prime is 100144745251. The next prime is 100144745287. The reversal of 100144745280 is 82547441001.

It is a happy number.

100144745280 is a `hidden beast` number, since 100 + 1 + 4 + 474 + 5 + 2 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100144745287) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 103135195 + ... + 103136165.

Almost surely, 2^100144745280 is an apocalyptic number.

100144745280 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 100144745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187127278272).

100144745280 is an abundant number, since it is smaller than the sum of its proper divisors (274109811264).

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

100144745280 is a wasteful number, since it uses less digits than its factorization.

100144745280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 100144745280 in words is "one hundred billion, one hundred forty-four million, seven hundred forty-five thousand, two hundred eighty".