104919072720 has 640 divisors, whose sum is σ = 431067267072. Its totient is φ = 20437401600.

The previous prime is 104919072707. The next prime is 104919072763. The reversal of 104919072720 is 27270919401.

It is a super-2 number, since 2×104919072720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 105871425 + ... + 105872415.

Almost surely, 2^104919072720 is an apocalyptic number.

104919072720 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 104919072720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215533633536).

104919072720 is an abundant number, since it is smaller than the sum of its proper divisors (326148194352).

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

104919072720 is a wasteful number, since it uses less digits than its factorization.

104919072720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The spelling of 104919072720 in words is "one hundred four billion, nine hundred nineteen million, seventy-two thousand, seven hundred twenty".