100223619840 has 504 divisors, whose sum is σ = 378946685040. Its totient is φ = 25315172352.

The previous prime is 100223619829. The next prime is 100223619883. The reversal of 100223619840 is 48916322001.

100223619840 is a `hidden beast` number, since 10 + 0 + 2 + 23 + 619 + 8 + 4 + 0 = 666.

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 = 100223619795 and 100223619804.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 17726454 + ... + 17732106.

Almost surely, 2^100223619840 is an apocalyptic number.

100223619840 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 100223619840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189473342520).

100223619840 is an abundant number, since it is smaller than the sum of its proper divisors (278723065200).

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

100223619840 is an frugal number, since it uses more digits than its factorization.

100223619840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5711 (or 5682 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 100223619840 in words is "one hundred billion, two hundred twenty-three million, six hundred nineteen thousand, eight hundred forty".