100350420480 has 800 divisors, whose sum is σ = 383089569984. Its totient is φ = 25050415104.

The previous prime is 100350420461. The next prime is 100350420491. The reversal of 100350420480 is 84024053001.

100350420480 is a `hidden beast` number, since 100 + 350 + 4 + 204 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 252771642 + ... + 252772038.

Almost surely, 2^100350420480 is an apocalyptic number.

100350420480 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 100350420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191544784992).

100350420480 is an abundant number, since it is smaller than the sum of its proper divisors (282739149504).

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

100350420480 is an equidigital number, since it uses as much as digits as its factorization.

100350420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 100350420480 its reverse (84024053001), we get a palindrome (184374473481).

The spelling of 100350420480 in words is "one hundred billion, three hundred fifty million, four hundred twenty thousand, four hundred eighty".