100086819840 has 792 divisors, whose sum is σ = 424832906160. Its totient is φ = 21663645696.

The previous prime is 100086819799. The next prime is 100086819851. The reversal of 100086819840 is 48918680001.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42899314 + ... + 42901646.

Almost surely, 2^100086819840 is an apocalyptic number.

100086819840 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 100086819840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212416453080).

100086819840 is an abundant number, since it is smaller than the sum of its proper divisors (324746086320).

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

100086819840 is a wasteful number, since it uses less digits than its factorization.

100086819840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 100086819840 in words is "one hundred billion, eighty-six million, eight hundred nineteen thousand, eight hundred forty".