100087263144 has 240 divisors, whose sum is σ = 318771753300. Its totient is φ = 29282964480.

The previous prime is 100087263137. The next prime is 100087263187. The reversal of 100087263144 is 441362780001.

100087263144 is a `hidden beast` number, since 10 + 0 + 0 + 8 + 7 + 2 + 631 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97250422500 + 2836840644 = 311850^2 + 53262^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 100087263099 and 100087263108.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2251824 + ... + 2295840.

Almost surely, 2^100087263144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100087263144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159385876650).

100087263144 is an abundant number, since it is smaller than the sum of its proper divisors (218684490156).

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

100087263144 is a wasteful number, since it uses less digits than its factorization.

100087263144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44086 (or 44062 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 100087263144 in words is "one hundred billion, eighty-seven million, two hundred sixty-three thousand, one hundred forty-four".